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#############################################################################
##
#A  refs.g                  GUAVA library                       Reinald Baart
#A                                                       & Jasper Cramwinckel
#A                                                          & Erik Roijackers
##
##  This file contains a record, which fields are references used in the
##  tables.
##
#Y  Copyright (C)  1994,  Vakgroep Algemene Wiskunde,  T.U. Delft,  Nederland
##
#H  CJ, 17 May 2006
#H  Updated lower- and upper-bounds of minimum distance for GF(2),
#H  GF(3) and GF(4) codes. (Brouwer's table as of 11 May 2006)
#H
#H  $Log: refs.g,v $
#H  Revision 1.1.1.1  1998/03/19 17:31:43  lea
#H  Initial version of GUAVA for GAP4.  Development still under way.
#H  Lea Ruscio 19/3/98
#H
#H
#H  Revision 1.2  1997/01/20 15:34:33  werner
#H  Upgrade from Guava 1.2 to Guava 1.3 for GAP release 3.4.4.
#H
#H  Revision 1.2  1994/11/10  14:34:24  rbaart
#H  Removed spaces
#H
#H  Revision 1.1  1994/11/10  14:29:23  rbaart
#H  Initial revision
#H
##
GUAVA_REF_LIST := rec(
ask := ["%T this reference is unknown, for more info",
     "%T contact A.E. Brouwer (aeb@cwi.nl)"],

CLC := ["%A C.L. Chen",
     "%T On a (145,32) binary cyclic code",
     "%J IEEE Trans. Inform. Theory",
     "%V 45",
     "%P 2546-2547",
     "%D Nov. 1999"],

cy := ["%R Cyclic Code"],

cyx := ["%R Construction X applied to cyclic Code"],

XBZ := ["%R extended Blokh-Zyablov concatenated code"],

XB := ["%R extended Blokh-Zyablov concatenated code"],

X := ["%A N.J. Sloane, S.M. Reddy & C.L. Chen",
     "%T New binary codes",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-18",
     "%P 503-510",
     "%D Jul. 1972",
     "%O Construction X"],

XX := ["%A W.O. Alltop",
     "%T A method of extending binary linear codes",
     "%J IEEE Trans. Inform. Theory",
     "%V 30",
     "%P 871-872",
     "%D Nov. 1984",
     "%O Construction XX"],

FP := ["%A A.B. Fontaine & W.W. Peterson",
     "%T Group code equivalence and optimum codes",
     "%J IRE Trans. Inform. Theory (Spec. Suppl.)",
     "%V IT-5",
     "%P 60-70",
     "%D May 1959"],

QR := ["%R A quadratic residue code"],

Wa := ["%A T.J. Wagner",
     "%T A remark concerning the minimum distance of binary group codes",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-11",
     "%P 458",
     "%D July 1965"],

HP := ["%A A.A. Hashim & V.S. Pozdniakov",
     "%T Computerized search for linear binary codes",
     "%J Electronics Letters",
     "%V 12",
     "%P 350-351",
     "%D July 1976"],

YH1 := ["%A Øyvind Ytrehus & Tor Helleseth",
     "%T There is no binary [25,8,10] code",
     "%J IEEE Trans. Inform. Theory",
     "%V 36",
     "%P 695-696",
     "%D May 1990"],

Si := ["%A J. Simonis",
     "%T Binary even [25,15,6] codes do not exist",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-33",
     "%P 151-153",
     "%D Jan. 1987"],

Pi2 := ["%A P. Piret",
     "%T Good linear codes of lengths 27 and 28",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-26",
     "%P 227",
     "%D Mar. 1980"],

Ch0 := ["%A C.L. Chen",
     "%T Construction of some binary linear codes of minimum distance five",
     "%J IEEE Trans. Inform. Theory",
     "%V 37",
     "%P 1429",
     "%D Sep 1991"],

Pu2 := ["%A C.L.M. van Pul, [26,13,8] does not exist",
     "%R priv. comm",
     "%D 1985"],

Ka := ["%A M. Karlin",
     "%T New binary coding results by circulants",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-15",
     "%P 81-92",
     "%D Jan. 1969"],

DM := ["%A S.M. Dodunekov & N.L. Manev",
     "%T An improvement of the Griesmer bound for some small minimum distances",
     "%J Discr. Appl. Math.",
     "%V 12",
     "%P 103-114",
     "%D Oct. 1985"],

BM := ["%A L.D. Baumert & R.J. McEliece",
     "%T A note on the Griesmer bound",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-19",
     "%P 134-135",
     "%D Jan. 1973"],

XBC := ["%R Extended BCH code"],

Ja := ["%A D.B. Jaffe",
     "%T Binary linear codes: new results on nonexistence",
     "%D 1996",
     "%O http://www.math.unl.edu/~djaffe/codes/code.ps.gz"],

CS := ["%A Y. Cheng & N.J.A. Sloane",
     "%T Codes from symmetry groups",
     "%J SIAM J. Discrete Math.",
     "%V 2",
     "%P 28-37",
     "%D 1989"],

vT3 := ["%A H.C.A. van Tilborg",
     "%T The smallest length of binary 7-dimensional linear codes with prescribed minimum distance",
     "%J Discr. Math.",
     "%V 33",
     "%P 197-207",
     "%D 1981"],

HY2 := ["%A T. Helleseth & Ø. Ytrehus",
     "%T How to find a [33,8,14]-code",
     "%R Report in Informatics (preliminary version), Dept. of Informatics, Univ. of Bergen, Norway",
     "%D Nov. 1989"],

He := ["%A P.W. Heijnen",
     "%T Er bestaat geen binaire [33,9,13] code",
     "%R Afstudeerverslag, T.U. Delft",
     "%D Oct. 1993"],

DHM := ["%A S.M. Dodunekov, T. Helleseth, N. Manev & Ø. Ytrehus",
        "%T New bounds on binary linear codes of dimension eight",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-33",
     "%P 917-919",
     "%D Nov. 1987"],

Pi := ["%A P. Piret",
     "%T Good block codes derived from cyclic codes",
     "%J Electronics Letters",
     "%V 10",
     "%P 391-392",
     "%D Sep. 1974"],

BoV := ["%A I.G. Bouyukliev & Z.G. Varbanov",
     "%T Some results for linear binary codes with minimum distance 5 and 6",
     "%R email",
     "%D Oct. 2004"],

Mo := ["%A M. Morii",
     "%R email comm",
     "%D Sept. 1993"],

BE := ["%A J. Bierbrauer & Y. Edel",
     "%T New code parameters from Reed-Solomon subfield subcodes",
     "%J IEEE Trans. Inf. Th.",
     "%V 43",
     "%P 953-968",
     "%D 1997"],

FB := ["%A P. Farkas & K. Brühl",
     "%T Three best binary linear block codes of minimum distance fifteen",
     "%J IEEE Trans. Inf. Th.",
     "%V 40",
     "%P 949-951",
     "%D 1994"],

Bou := ["%A I. Boukliev",
     "%T Some new bounds on minimum length for quaternary codes of dimension five",
     "%R preprint",
     "%D July 1994"],

RR := ["%A V.V. Rao & S.M. Reddy",
     "%T A (48,31,8) linear code",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-19",
     "%P 709-711",
     "%D Sep. 1973"],

BJV := ["%A I Bouyukliev, D.B. Jaffe & V. Vavrek",
     "%T The smallest length of eight-dimensional binary linear codes with prescribed minimum distance",
     "%R preprint",
     "%D 1999"],

vT1 := ["%A H.C.A. van Tilborg",
     "%T On quasi-cyclic codes with rate 1/m",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-24",
     "%P 628-630",
     "%D Sep. 1978"],

BZ := ["%A E. L. Blokh & V. V. Zyablov",
     "%T Coding of generalized concatenated codes",
     "%J Probl. Inform. Transm.",
     "%V 10",
     "%P 218-222",
     "%D 1974"],

Bo0 := ["%A I Boukliev",
     "%R private comm",
     "%D 1995-1997"],

Bel := ["%R Belov"],

Gu9 := ["%A T. A. Gulliver",
     "%R personal communications",
     "%D 1993-1998"],

DJ := ["%A R. Dougherty & H. Janwa",
     "%T Covering radius computations for binary cyclic codes",
     "%J Math. Comput.",
     "%V 57",
     "%P 415-434",
     "%D July 1991"],

GB5 := ["%A T. A. Gulliver & V. K. Bhargava",
     "%T New optimal binary linear codes of dimensions 9 and 10",
     "%J IEEE Trans. Inform. Theory",
     "%V 43",
     "%P 314-316",
     "%D 1997"],

GG := ["%A B. Groneick & S. Grosse",
     "%T New binary codes",
     "%J IEEE Trans. Inform. Theory",
     "%V 40",
     "%P 510-512",
     "%D 1994"],

EB3 := ["%A Y. Edel & J. Bierbrauer",
     "%T Inverting Construction Y1",
     "%R preprint",
     "%D 1997"],

B2x := ["%A See A.E. Brouwer & T. Verhoeff",
     "%T An updated table of minimum-distance bounds for binary linear codes",
     "%J IEEE Trans. Inform. Th.",
     "%V 39",
     "%P 662-677",
     "%D 1993"],

Pu := ["%A C.L.M. van Pul",
     "%T On bounds on codes",
     "%R Master's Thesis, Dept. of Math. and Comp. Sc., Eindhoven Univ. of Techn., The Netherlands",
     "%D Aug. 1982"],

LC := ["%A M. Loeloeian & J. Conan",
     "%T A [55,16,19] binary Goppa code",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-30",
     "%P 773",
     "%D Sep. 1984"],

Bro := ["%A A.E. Brouwer",
     "%T The linear programming bound for binary linear codes",
     "%J IEEE Trans. Inform. Th.",
     "%V 39",
     "%P 677-680",
     "%D 1993"],

vT4 := ["%A H.C.A. van Tilborg",
     "%T A proof of the nonexistence of a binary (55,7,26) code",
     "%R TH-Report 79-WSK-09, Techn. Hogeschool Eindhoven",
     "%D Nov. 1979"],

Ja2 := ["%A D. Jaffe",
     "%R email",
     "%D 970828, 970907, 970923, 971111, 980112, 980323"],

MoY := ["%A M. Morii & T. Yoshimura",
     "%R email comm",
     "%D Nov 1993-Jan 1994"],

BCH := ["%A T. Kasami & N. Tokura",
     "%T Some remarks on BCH bounds and minimum weights of binary primitive BCH codes",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-15",
     "%P 408-413",
     "%D May 1969"],

SRC := ["%A N.J.A. Sloane, S.M. Reddy & C.L. Chen",
     "%T New binary codes",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-18",
     "%P 503-510",
     "%D July 1972"],

We := ["%A S. Weijs",
     "%T A computer search for quasi-cyclic codes",
     "%R afstudeerverslag (M.Sc. Thesis), Techn. Univ. Eindhoven",
     "%D June 1997",
     "%O See also P. Heijnen, H. van Tilborg, T. Verhoeff & S. Weijs, Some new binary, quasi-cyclic codes, IEEE Trans. Inf. Th., to appear"],

Ch := ["%A Y. Cheng",
     "%T New linear codes constructed by concatenating, extending, and shortening methods",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-33",
     "%P 719-721",
     "%D Sept. 1987"],

CDJ := ["%A Huy T. Cao, Randall L. Dougherty & Heeralal Janwa",
     "%T A [55,16,19] binary Goppa code and related codes, having large minimum distance",
     "%J IEEE Trans. Inform. Theory",
     "%V 37",
     "%P 1432",
     "%D Sep. 1991"],

Hel := ["%A T. Helleseth",
     "%T A characterization of codes meeting the Griesmer bound",
     "%J Inform. & Control",
     "%V 50",
     "%P 128-159",
     "%D 1981"],

Sa := ["%A Amir Said",
     "%R private comm",
     "%D 910510 and 911121"],

GW2 := ["%A M. Grassl & G. White",
        "%T New Codes from Chains of Quasi-cyclic Codes",
        "%R ISIT",
        "%D 2005"],

GG1 := ["%A B. Groneick & S. Grosse",
     "%R priv. comm. and comm. via W. Scharlau",
     "%D 1992-1993"],

CZ := ["%A Chen Zhi",
     "%T Six new binary quasi-cyclic codes",
     "%J IEEE Trans. Inf. Theory",
     "%V 40",
     "%P 1666-1667",
     "%D 1994"],

GB0 := ["%A T. Aaron Gulliver & Vijay K. Bhargava",
     "%T Nine good rate (m-1)/pm quasi-cyclic codes",
     "%J IEEE Trans. Inform. Th.",
     "%V 38",
     "%P 1366-1369",
     "%D July 1991"],

To := ["%A L.M.G.M. Tolhuizen",
     "%T On the optimal use and the construction of linear block codes",
     "%R Master's Thesis, Dept. of Math. and Comp. Sc., Eindhoven Univ. of Techn., The Netherlands",
     "%D Nov. 1986"],

To2 := ["%A Ludo M.G.M. Tolhuizen",
     "%T Two new binary codes obtained by shortening a generalized concatenated code",
     "%J IEEE Trans. Inform. Theory",
     "%V 37",
     "%P 1705",
     "%D Nov. 1991"],

ZL := ["%A V.A. Zinoviev & S.N. Litsyn",
     "%T Methods of code lengthening",
     "%J Problemy Peredachi Informatsii",
     "%V 18",
     "%P 29-42",
     "%D Oct-Dec 1982",
     "%O (English translation: pp. 244-254)"],

EB2 := ["%A Y. Edel & J. Bierbrauer",
     "%T Twisted BCH codes",
     "%J J. of Combinatorial Designs",
     "%V 5",
     "%P 377-389",
     "%D 1997"],

BEx := ["%A J. Bierbrauer & Y. Edel",
     "%T New code parameters from Reed-Solomon subfield subcodes",
     "%J IEEE Trans. Inf. Th.",
     "%V 43",
     "%P 953-968",
     "%D 1997"],

JS := ["%A D. Jaffe & J. Simonis",
     "%R email",
     "%D 970722, 980217"],

GB1 := ["%A T. A. Gulliver & V. K. Bhargava",
     "%T Two new rate $2/p$ binary quasi-cyclic codes",
     "%J IEEE Trans. Inf. Theory",
     "%V 40",
     "%P 1667-1668",
     "%D 1994"],

BET := ["%A J. Bierbrauer, Y. Edel & L. Tolhuizen",
     "%T New codes via the lengthening of BCH codes with UEP codes",
     "%R preprint",
     "%D 1997"],

Hg := ["%A H.J. Helgert",
     "%T Alternant codes",
     "%J Inform. Contr.",
     "%V 26",
     "%P 369-380",
     "%D Dec. 1974"],

BDH := ["%A I. Boukliev, S. M. Dodunekov, T. Helleseth & Ø. Ytrehus",
     "%T On the [162,8,80;2] codes",
     "%R preprint",
     "%D 1996"],

HS := ["%A H.J. Helgert & R.D. Stinaff",
     "%T Shortened BCH codes",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-19",
     "%P 818-820",
     "%D Nov. 1973"],

BK := ["%A Detlef Berntzen & Peter Kemper",
     "%R email",
     "%D Feb. 1993"],

LP := ["%R Follows from the linear programming bound"],

DMa := ["%A S. M. Dodunekov & N. L. Manev",
     "%T An improvement of Greismer bound for some classes of distances",
     "%J Probl. Peredachi Informatsii",
     "%V 23",
     "%P 47-56",
     "%D 1987",
     "%O (Russian); English transl. in Problems of Inform. Transm. 23 (1987) 38-46"],

Jo2 := ["%A S.M. Johnson",
     "%T On upper bounds for unrestricted binary error-correcting codes",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-17",
     "%P 466-478",
     "%D July 1971"],

DaH := ["%A Rumen Daskalov & Plamen Hristov",
     "%T New One-Generator Quasi-Cyclic Codes over GF(7)",
     "%R preprint",
     "%D Oct 2001",
     "%O R. Daskalov & P Hristov, New One-Generator Quasi-Twisted Codes over GF(5), (preprint) Oct. 2001. R. Daskalov & P Hristov, <i>New Quasi-Twisted Degenerate Ternary Linear Codes, preprint, Nov 2001. Email, 2002-2003"],

AGP := ["%A A.O.L. Atkin, P. Gaborit, V. Pless & P Sole",
     "%R email",
     "%D 2001"],

Roe := ["%A G. Roelofsen",
     "%T On Goppa and generalized Srivastava codes",
     "%R Master's Thesis, Dept. of Math. and Comp. Sc., Eindhoven Univ. of Techn., The Netherlands",
     "%D Aug. 1982"],

Joplus := ["%A A.E. Brouwer",
     "%T The linear programming bound for binary linear codes",
     "%J IEEE Trans. Inform. Th.",
     "%V 39",
     "%P 677-680",
     "%D 1993"],

Gp := ["%A V. D. Goppa",
     "%T A new class of linear error-correcting codes",
     "%J Problems of Info. Transmission",
     "%V 6",
     "%P 207-212",
     "%D 1970"],

GB := ["%A T. Aaron Gulliver & Vijay K. Bhargava",
     "%T Some best rate 1/p and rate (p-1)/p systematic quasi-cyclic codes",
     "%J IEEE Trans. Inform. Theory",
     "%V 37",
     "%P 552-555",
     "%D May 1991"],

QC := ["%A A.E. Brouwer & T. Verhoeff",
     "%T An updated table of minimum-distance bounds for binary linear codes",
     "%J IEEE Trans. Inform. Theory",
     "%V 39",
     "%P 662-677",
     "%D 1993"],

MMT := ["%A Hideaki TANAKA, Masami MOHRI, Masakatu MORII",
     "%R email, comm",
     "%D Feb 2005"],

EB1 := ["%A Y. Edel & J. Bierbrauer",
     "%T Some codes related to BCH codes of low dimension",
     "%R preprint",
     "%D 1995"],

BJK := ["%A Irina E. Bocharova, Rolf Johannesson, Boris D. Kudryashov & Per Ståhl",
     "%T Tailbiting Codes: Bounds and Search Results",
     "%O IEEE, to appear"],

BHJ := ["%A I. E. Bocharova, M. Handlery, R. Johannesson & B. D. Kudryashov",
     "%T Tailbiting Codes Obtained via Convolutional Codes with Large Slope",
     "%O to be submitted to IEEE"],

RS := ["%A Rains & Sloane",
     "%T Self-dual codes",
     "%O in: Handbook of Coding theory, Table XI, p. 274"],

Dup := ["%A Scott Duplichan",
     "%R email 000517"],

Gur := ["%A Sugi Guritman",
     "%T Restrictions on the weight distribution of linear codes",
     "%R Thesis, Techn. Univ. Delft",
     "%D 2000"],

BE3 := ["%A J. Bierbrauer & Y. Edel",
     "%T Extending and lengthening BCH-codes",
     "%R preprint"],

Su := ["%A Y. Sugiyama, M. Kasahara, S. Hirasawa & T. Namekawa",
     "%T Some efficient binary codes constructed using Srivastava codes",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-21",
     "%P 581-582",
     "%D Sep. 1975"],

Vx := ["%R From the Varshamov-Gilbert bound together with construction X"],

Jo := ["%R Follows from the Johnson bound"],

GB6 := ["%A T. A. Gulliver & V. K. Bhargava",
     "%T Improvements to the bounds on optimal binary linear codes of dimensions 11 and 12",
     "%J Ars Combinatoria",
     "%V 44",
     "%P 173-181",
     "%D 1996"],

Kol := ["%A David R. Kohel",
     "%R email",
     "%D 1998-11-19"],

Gu := ["%A T. A. Gulliver",
     "%R personal communications",
     "%D 1993-1998"],

HvT := ["%A Tor Helleseth & Henk C.A. van Tilborg",
     "%T The classification of all (145,7,72) binary linear codes",
     "%R TH-Report 80-WSK-01, Techn. Hogeschool Eindhoven",
     "%D April 1980"],

TTH := ["%A C. Tjhai, M. Tomlinson, R. Horan, M. Ahmed & M. Ambroze",
     "%T Linear codes derived from binary cyclic codes of length 151",
     "%R preprint",
     "%D 2005"],

KSH := ["%A M. Kasahara, Y. Sugiyama, S. Hirasawa & T. Namekawa",
     "%T A new class of binary codes constructed on the basis of BCH codes",
     "%J IEEE Trans. Inform. Theory",
     "%V IT-21",
     "%P 582-585",
     "%D Sep. 1975"],

BKW := ["%A Michael Braun, Axel Kohnert & Alfred Wassermann",
     "%T Optimal linear codes from matrix groups",
     "%R preprint",
     "%D Mar 2004",
     "%O and Construction of (sometimes) Optimal Linear Codes, email, Mar 2005"],

Zwa := ["%A Johannes Zwanzger",
     "%R pers.comm",
     "%D Dec 2005"],

BG3 := ["%A M. C. Bhandari & M. S. Garg",
     "%T A new lower bound on the minimal length of a binary linear code",
     "%J Europ. J. Combin.",
     "%V 17",
     "%P 335-342",
     "%D 1996"],

Sab := ["%A Roberta E. Sabin",
     "%R email",
     "%D Aug. 1994"],

VE := ["%R From repeated Varshamov-Edel lengthening"],

MYI := ["%A M. Morii, T. Yoshimura & Y. Itoh",
     "%R email comm",
     "%D Feb-Mar 1995"],

PD := ["%A M. Grassl",
     "%R email",
     "%D 2001-03-21",
     "%O by puncturing a GG code at a word of the dual"],

Rod := ["%A F. Rodier",
     "%T On the minimum distance of the duals of 4-error correcting extended BCH codes",
     "%R preprint",
     "%D Oct. 1997"],

Lun := ["%A Anders Lundqvist",
     "%R pers.comm",
     "%D 1997"],

HN := ["%A R. Hill & D.E. Newton",
     "%T Optimal ternary linear codes",
     "%J Des. Codes Cryptogr.",
     "%V 2",
     "%P 137-157",
     "%D 1992"],

KP := ["%A F.R. Kschischang & S. Pasupathy",
     "%T Some ternary and quaternary codes and associated sphere packings",
     "%J IEEE Trans. Inform. Theory",
     "%V 38",
     "%P 227-246",
     "%D 1992"],

vE2 := ["%A M. van Eupen",
     "%T Four nonexistence results for ternary linear codes",
     "%J IEEE Trans. Inform. Theory",
     "%V 41",
     "%P 800-805",
     "%D 1995"],

Hi1 := ["%A R. Hill",
     "%T On the largest size of cap in S(5,3)",
     "%R Rend. Accad. Naz. Lincei (8) {bf 54}",
     "%D 1973",
     "%O 378-384"],

Pel := ["%A G. Pellegrino",
     "%T Sul massimo ordine della calotte in $S_{4,3}$",
     "%J Matematiche",
     "%V 25",
     "%P 149-157",
     "%D 1971"],

Ple := ["%A V. Pless",
     "%T On a new family of symmetry codes and related new 5-designs",
     "%J Bull. Amer. Math. Soc.",
     "%V 75",
     "%P 1339-1342",
     "%D 1969"],

vE0 := ["%A M. van Eupen",
     "%T Five new optimal ternary linear codes",
     "%J IEEE Trans. Inform. Theory",
     "%V 40",
     "%P 193",
     "%D 1994"],

HHM := ["%A N. Hamada, T. Helleseth, H.M. Martinsen & Ø. Ytrehus",
     "%T There is no ternary [28,6,16] code"],

GuB := ["%A T. A. Gulliver",
     "%R personal communications",
     "%D 1993-1998"],

GB4 := ["%A T. A. Gulliver & V. K. Bhargava",
     "%T New good rate $(m-1)/pm$ ternary and quaternary cyclic codes",
     "%J Des. Codes Cryptogr.",
     "%V 7",
     "%P 223-233",
     "%D 1996"],

BB := ["%A G. T. Bogdanova & I. G. Boukliev",
     "%T New linear codes of dimension 5 over GF(3)",
     "%R Proc. 4th Internat. Workshop on Algebraic and Combinatorial Coding Theory, Novgorod, Russia",
        "%P 41-43",
     "%D Sept. 1994"],

Bo1 := ["%A I. Boukliev",
     "%T A method for construction of good linear codes",
     "%R preprint submitted to the International Workshop on Optimal Codes and Related Topics, Bulgaria, Sozopol",
     "%D 1995"],

Be := ["%A G. F. M. Beenker",
     "%T A note on extended quadratic residue codes over GF(9) and their ternary images",
     "%J IEEE Trans. Inform. Theory",
     "%V 30",
     "%P 403-405",
     "%D 1984"],

vE1 := ["%A M. van Eupen",
     "%T Some new results for ternary linear codes of dimension $5$ and $6$",
     "%J IEEE Trans. Inform. Theory",
     "%V 41",
     "%P 2048-2051",
     "%D 1995"],

BKn := ["%A Detlef Berntzen & Peter Kemper",
     "%R email",
     "%D Feb. 1993"],

Glo := ["%A Volker von Gloeden",
     "%T Kubische Reste Codes",
     "%R Dipl",
     "%D marbeit, Düsseldorf, Oktober 2002"],

Gu1 := ["%A T. A. Gulliver",
     "%T New optimal ternary linear codes of dimension 6",
     "%J Ars Combin.",
     "%V 40",
     "%P 97-108",
     "%D 1995"],

HJ := ["%A R. Hill and C. Jones",
     "%T The non-existence of ternary [47,6,29] codes"],

CG := ["%A Y. Cheng & D. J. Guan",
     "%R pers. comm"],

ARS := ["%A Nuh Aydin, Dijen Ray-Chaudhuri, Irfan Siap",
     "%R email",
     "%D 1999-2000"],

Gu2 := ["%A T. A. Gulliver",
     "%T New optimal ternary linear codes",
     "%J IEEE Trans. Inform. Theory",
     "%V 41",
     "%P 1182-1185",
     "%D 1995"],

D1 := ["%R Code found by the (u|u+v) construction"],

GO := ["%A T. A. Gulliver & P. R. J. Östergård",
     "%T Improved bounds for ternary linear codes of dimension 7",
     "%J IEEE Trans. Inform. Theory",
     "%V 43",
     "%P 1377-1381",
     "%D 1997"],

Ha := ["%A N. Hamada",
     "%R pers. comm"],

vEH := ["%A M. van Eupen & R. Hill",
     "%T An optimal ternary $[69,5,45]$ code and related codes",
     "%J Des. Codes Cryptogr.",
     "%V 4",
     "%P 271-282",
     "%D 1994"],

Ma := ["%A T. Maruta",
     "%T On the nonexistence of linear codes attaining the Griesmer bound",
     "%J Geom. Dedicata",
     "%V 60",
     "%P 1-7",
     "%D 1996"],

ASR := ["%A Nuh Aydin, Irfan Siap & Dijen Ray-Chaudhuri",
     "%T New ternary quasicyclic codes with improved minimum distances",
     "%R preprint",
     "%D 1999"],

HW1 := ["%A N. Hamada & Y. Watamori",
     "%T The nonexistence of $[71,5,46;3]$ codes",
     "%J J. Statist. Plann. Inf.",
     "%V 52",
     "%P 379-394",
     "%D 1996"],

Bo3 := ["%A I. Boukliev",
     "%T Some new optimal ternary linear codes",
     "%J Des. Codes Cryptogr.",
     "%V 12",
     "%P 5-11",
     "%D 1997"],

Da := ["%A R. N. Daskalov",
     "%R pers. comm",
     "%D 1992-2005"],

HHY := ["%A N. Hamada, T. Helleseth & Ø. Ytrehus",
     "%T On the construction of $[q^4+q^2-q,5,q^4-q^3+q^2-2q;q]$-codes meeting the Griesmer bound",
     "%J Des. Codes Cryptogr.",
     "%V 2",
     "%P 225-229",
     "%D 1992"],

dB := ["%A M.A. de Boer",
     "%T A ternary [91,9,54] code",
     "%J preprint, 9504; A dual quaternary BCH code, 9502. Codes spanned by quadratic and Hermitian forms, IEEE Trans. Inform. Theory",
     "%V 42",
     "%P 1600-1604",
     "%D 1996"],

Ed2 := ["%A Y. Edel",
     "%T Extending and lengthening BCH-codes",
     "%R preprint",
     "%D 9710",
     "%O 07"],

HH := ["%A N. Hamada & T. Helleseth",
     "%T The nonexistence of some ternary linear codes and update of the bounds for n_3(6,d), 1 <= d <= 243",
     "%R preprint",
     "%D 1999"],

LX := ["%A San Ling & Chaoping Xing",
     "%T Polyadic Codes Revisited",
     "%R preprint",
     "%D 2003"],

GO2 := ["%A T. A. Gulliver & P. R. J. Östergård",
     "%T Improved bounds for ternary linear codes of dimension 8",
     "%R preprint",
     "%D Nov. 1997"],

DGM := ["%A R.N. Daskalov, T.A. Gulliver & E. Metodieva",
     "%T New Ternary Linear Codes",
     "%R IEEE Trans.Inf.Theory",
        "%V 45",
        "%P 1687-1688",
     "%D 1999",
     "%O no.5"],

DM5 := ["%A R. N. Daskalov & E. Metodieva",
     "%T The nonexistence of ternary [105,6,68] and [230,6,152] codes",
     "%O Designs, Codes and Cryptography, submitted"],

Ed := ["%A Y. Edel",
     "%T Eine Verallgemeinerung von BCH-Codes",
     "%R Ph.D. Thesis, Univ. Heidelberg",
     "%D 1996"],

Var := ["%A R.R. Varshamov",
     "%T Problems of the general theory of linear coding",
     "%R Ph.D. thesis, Moscow State Univ",
     "%D 1959",
     "%O (Russian) (from the Varshamov-Gilbert bound)"],

Br2 := ["%A A. E. Brouwer",
     "%T Linear spaces of quadrics and new good codes",
     "%R preprint",
     "%D 1997"],

DG4 := ["%A Rumen N. Daskalov & T. Aaron Gulliver",
     "%T New Minimum Distance Bounds for Linear Codes over Small Fields",
     "%R preprint",
     "%D March 2001"],

Da2 := ["%A R.N. Daskalov",
     "%T The linear programming bound for ternary linear codes",
     "%R IEEE International Symposium on Information Theory, Trondheim",
        "%P 423",
     "%D 1994"],

Koh := ["%A Axel Kohnert",
     "%R email",
     "%D 2006"],

BEH := ["%A J. Barat, Y. Edel, R. Hill & L. Storme",
     "%T On complete caps in the projective geometriesover F3, II: New improvements.",
     "%R J. Combin. Math. and Combin. Computing 49",
     "%P 9-31",
     "%D 2004"],

Lan := ["%A I.N. Landgev",
     "%T Nonexistence of $[143,5,94]_3$ codes",
        "%R Proc. Internat. Workshop on Optimal Codes and Related Topics, Sozopol, Bulgaria",
     "%P 108-116",
     "%D 1995"],

Da9 := ["%A R. N. Daskalov",
     "%T The sharpened linear programming bound for ternary linear codes",
        "%R Mathematics and Education in Mathematics, Sofia",
     "%P 158-166",
     "%D 1995"],

Lg := ["%A I.N. Landgev",
     "%T The nonexistence of some ternary five-dimensional codes",
     "%O Des. Codes Cryptogr., to appear"],

Da0 := ["%A R. N. Daskalov",
     "%T New Ternary Linear Codes in Dimensions 18 and 19",
     "%R preprint",
     "%D Oct 2001"],

Da6 := ["%A R. N. Daskalov",
     "%T Some nonexistence results for 7-dimensional ternary linear codes",
     "%R preprint",
     "%D 1998"],

DM4 := ["%A R. N. Daskalov & E. Metodieva",
     "%T The Linear Programming Bound for Ternary and Quaternary Linear Codes",
     "%R preprint",
     "%D Jan 2002"],

Da5 := ["%A R. N. Daskalov",
     "%T The non-existence of ternary linear [158,6,104] and [203,6,134] codes",
     "%R preprint",
     "%D 1998"],

BvE := ["%A A. E. Brouwer & M. van Eupen",
     "%T The correspondence between projective codes and 2-weight codes",
     "%R Designs, Codes and Cryptography 11",
     "%P 261-266",
     "%D 1997"],

GH := ["%A P.P. Greenough & R. Hill",
     "%T Optimal linear codes over GF(4)",
     "%J Discrete Math.",
     "%V 125",
     "%P 187-199",
     "%D 1994"],

MOS := ["%A F.J. MacWilliams, A.M. Odlyzko, N.J.A. Sloane & H.N. Ward",
     "%T Self-dual codes over GF(4)",
     "%J J. Comb. Th. (A)",
     "%V 25",
     "%P 288-318",
     "%D 1978"],

Liz := ["%A P. Lizak",
     "%T Optimal quaternary linear codes",
     "%R Ph. D. Thesis, Univ. of Salford",
     "%D Nov. 1995"],

IN := ["%A H. Itoh & M. Nakamichi",
     "%T SbEC-DbED codes derived from experiments on a computer for semiconductor memory systems",
     "%R Electronics and Communications in Japan",
        "%V 66-A",
     "%D 1983",
        "%O No.8"],

Zi := ["%A Thomas Rehfinger, N. Suresh Babu & Karl-Heinz Zimmermann",
     "%T New Good Codes via CQuest -- A System for the Silicon Search of Linear Codes",
        "%R Algebraic Combinatorics and Applications, A. Betten et al., eds, Springer",
     "%P 294-306",
     "%D 2001"],

Da4 := ["%A R. N. Daskalov",
     "%T Ten good quasicyclic 10-dimensional quaternary linear codes",
     "%R Optimal codes and related topics, Proc. Internat. Workshop on Optimal Codes and Related Topics, Sozopol, Bulgaria",
        "%P 45-49",
     "%D 1995"],

DG5 := ["%A Rumen N. Daskalov & T. Aaron Gulliver",
     "%T New Quasi-Twisted Quaternary Linear Codes",
     "%R IEEE Trans. Inf. Theory",
        "%V 46",
     "%P 2642-2643",
     "%O no.7"],

Du3 := ["%A I. Duursma",
     "%R email",
     "%D 050809"],

DG := ["%A R.N. Daskalov & T.A. Gulliver",
     "%T New good quasi-cyclic ternary and quaternary codes",
     "%R IEEE Trans.Inf.Th.",
        "%V 43",
     "%P 1647-1650",
        "%D 1997",
     "%O no.5"],

BMP := ["%A J. Bierbrauer, S. Marcugini & F. Pambianco",
     "%T A family of highly symmetric codes",
     "%R preprint",
     "%D 2002"],

Ayd := ["%A Nuh Aydin",
     "%T preprint",
     "%D 2003"],

GW1 := ["%A M. Grassl & G. White",
        "%T New Good Linear Codes by Special Puncturings",
        "%R ISIT 2004 Chicago USA",
        "%D June 27 - July 2 2004"],

LMH := ["%A I. Landgev, T. Maruta, R. Hill",
     "%T On the nonexistence of quaternary [51,4,37] codes",
     "%J Finite Fields Appl.",
     "%V 2",
     "%P 96-110",
     "%D 1996"],

YC := ["%A Ying Cheng",
     "%R pers. comm. Sloane",
     "%D Feb. 1993"],

HLa := ["%A R. Hill & I. Landgev",
     "%T On the nonexistence of some quaternary codes",
     "%R Proc. IMA conf. Finite Fields and their Applications",
     "%D June 1994"],

Tol := ["%A L.M.G.M. Tolhuizen",
     "%T Cooperating error-correcting codes and their decoding",
     "%R Ph.D. thesis, Eindhoven Univ. of Techn",
     "%D June 1996"],

Hi := ["%A R. Hill",
     "%T Caps and Groups",
     "%J Coll. Intern. Teorie Combin. Acc. Naz. Lincei, Roma 1973, Atti dei convegni Lincei",
     "%V 17",
     "%P 389-394",
     "%D 1976",
     "%O Rome"],

DNX := ["%A Cunsheng Ding, Harald Niederreiter & Chaoping Xing",
     "%T Some new codes from algebraic curves",
     "%R IEEE Trans. On Inform. Theory",
        "%V 46",
     "%P 2638-2642",
     "%D 2000"],

Gu3 := ["%A T. A. Gulliver",
     "%T New optimal quaternary linear codes of dimension 5",
     "%J IEEE Trans. Inform. Theory",
     "%V 42",
     "%P 2260-2265",
     "%D 1996"],

BDK := ["%A I. Boukliev, R. Daskalov & S. Kapralov",
     "%T Optimal quaternary codes of dimension five",
     "%J IEEE Trans. Inform. Theory",
     "%V 42",
     "%P 1228-1235",
     "%D 1996"],

Da1 := ["%A R.N. Daskalov",
     "%T The linear programming bound for quaternary linear codes",
     "%R Proceedings ACCT4'94, Novgorod, Russia",
     "%P 74-77",
     "%D Sept. 11-17, 1994"],

DM3 := ["%A R. N. Daskalov & E. Metodieva",
     "%T Bounds on minimum length for quaternary linear codes in dimensions six and seven",
     "%R Mathematics and Education in Mathematics, Sofia",
     "%P 156-161",
     "%D 1994"]

);

Quellcode-Bibliothek refs.g Sprache: unbekannt

[ 0.125Quellennavigators ]