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<title>GAP (QDistRnd) - References</title>
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<h3>References</h3>


<p><a id="biBAshikhmin-Knill-2001" name="biBAshikhmin-Knill-2001"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>AK01</span>]   <b class='BibAuthor'>Ashikhmin, A. and Knill, E.</b>,
 <i class='BibTitle'>Nonbinary quantum stabilizer codes</i>,
 <span class='BibJournal'>IEEE Trans. Info. Th.</span>,
 <em class='BibVolume'>47</em> (<span class='BibNumber'>7</span>)
 (<span class='BibYear'>2001</span>),
 <span class='BibPages'>3065-3072</span>.
</p>


<p><a id="biBCoffey-Goodman-1990" name="biBCoffey-Goodman-1990"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>CG90</span>]   <b class='BibAuthor'>Coffey, J. T. and Goodman, R. M.</b>,
 <i class='BibTitle'>The complexity of information set decoding</i>,
 <span class='BibJournal'>IEEE Trans. Info. Theory</span>,
 <em class='BibVolume'>36</em> (<span class='BibNumber'>5</span>)
 (<span class='BibYear'>1990</span>),
 <span class='BibPages'>1031 -1037</span>.
</p>


<p><a id="biBCuellar-etal-2020" name="biBCuellar-etal-2020"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>CGLN21</span>]   <b class='BibAuthor'>Cu\'ellar, M. P., G\'omez-Torrecillas, J., Lobillo, F. J. and Navarro, G.</b>,
 <i class='BibTitle'>Genetic algorithms with permutation-based
                  representation for computing the distance of linear
                  codes</i>,
 <span class='BibJournal'>Swarm and Evolutionary Computation</span>,
 <em class='BibVolume'>60</em>
 (<span class='BibYear'>2021</span>),
 <span class='BibPages'>100797</span>.
</p>


<p><a id="biBChernoff-Lehmann-1954" name="biBChernoff-Lehmann-1954"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>CL54</span>]   <b class='BibAuthor'>Chernoff, H. and Lehmann, E. L.</b>,
<a href="https://doi.org/10.1214/aoms/1177728726"><i class='BibTitle'>The Use of Maximum Likelihood Estimates in χ^2
                  Tests for Goodness of Fit</i></a>,
 <span class='BibJournal'>The Annals of Mathematical Statistics</span>,
 <span class='BibPublisher'>Institute of Mathematical Statistics</span>,
 <em class='BibVolume'>25</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1954</span>),
 <span class='BibPages'>579 -- 586</span>.
</p>


<p><a id="biBCramer-book-1999" name="biBCramer-book-1999"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Cra99</span>]   <b class='BibAuthor'>Cram\'er, H.,
<a href="https://www.jstor.org/stable/j.ctt1bpm9r4"><i class='BibTitle'>Mathematical Methods of Statistics (PMS-9)</i></a>,
 <span class='BibPublisher'>Princeton University Press</span>
 (<span class='BibYear'>1999</span>).
</p>


<p><a id="biBCalderbank-1997" name="biBCalderbank-1997"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>CRSS98</span>]   <b class='BibAuthor'>Calderbank, A. R., Rains, E. M., Shor, P. M. and Sloane, N. J. A.</b>,
<a href="https://doi.org/10.1109/18.681315"><i class='BibTitle'>Quantum error correction via codes over GF(4)</i></a>,
 <span class='BibJournal'>IEEE Trans. Info. Theory</span>,
 <em class='BibVolume'>44</em>
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>1369-1387</span>.
</p>


<p><a id="biBDumer-Kovalev-Pryadko-bnd-2015" name="biBDumer-Kovalev-Pryadko-bnd-2015"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>DKP15</span>]   <b class='BibAuthor'>Dumer, I., Kovalev, A. A. and Pryadko, L. P.</b>,
<a href="https://doi.org/10.1103/PhysRevLett.115.050502"><i class='BibTitle'>Thresholds for correcting errors, erasures, and
                  faulty syndrome measurements in degenerate quantum
                  codes</i></a>,
 <span class='BibJournal'>Phys. Rev. Lett.</span>,
 <span class='BibPublisher'>American Physical Society</span>,
 <em class='BibVolume'>115</em>
 (<span class='BibYear'>2015</span>),
 <span class='BibPages'>050502</span>.
</p>


<p><a id="biBDumer-Kovalev-Pryadko-IEEE-2017" name="biBDumer-Kovalev-Pryadko-IEEE-2017"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>DKP17</span>]   <b class='BibAuthor'>Dumer, I., Kovalev, A. A. and Pryadko, L. P.</b>,
 <i class='BibTitle'>Distance Verification for Classical and Quantum LDPC
                  Codes</i>,
 <span class='BibJournal'>IEEE Trans. Inf. Th.</span>,
 <em class='BibVolume'>63</em> (<span class='BibNumber'>7</span>)
 (<span class='BibYear'>2017</span>),
 <span class='BibPages'>4675-4686</span>.
</p>


<p><a id="biBgottesman-thesis" name="biBgottesman-thesis"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Got97</span>]   <b class='BibAuthor'>Gottesman, D.</b>,
<a href="https://arxiv.org/abs/quant-ph/9705052"><i class='BibTitle'>Stabilizer Codes and Quantum Error Correction</i></a>,
 <span class='BibType'>Ph.D. thesis</span>,
 <span class='BibSchool'>Caltech</span>
 (<span class='BibYear'>1997</span>).
</p>


<p><a id="biBGottesman-prime-power-2014" name="biBGottesman-prime-power-2014"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Got14</span>]   <b class='BibAuthor'>Gottesman, D.</b>,
<a href="https://www.qec14.ethz.ch/slides/DanielGottesman.pdf"><i class='BibTitle'>Stabilizer codes with prime power qudits</i></a>
 (<span class='BibYear'>2014</span>)<br />
(<span class='BibNote'>Invited talk at QEC 2014 (ETH Zurich)</span>).
</p>


<p><a id="biBKetkar-Klappenecker-Kumar-Sarvepalli-2006" name="biBKetkar-Klappenecker-Kumar-Sarvepalli-2006"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>KKKS06</span>]   <b class='BibAuthor'>Ketkar, A., Klappenecker, A., Kumar, S. and Sarvepalli, P. K.</b>,
 <i class='BibTitle'>Nonbinary Stabilizer Codes Over Finite Fields</i>,
 <span class='BibJournal'>{IEEE} Trans. Info. Th.</span>,
 <em class='BibVolume'>52</em> (<span class='BibNumber'>11</span>)
 (<span class='BibYear'>2006</span>),
 <span class='BibPages'>4892-4914</span>.
</p>


<p><a id="biBKruk-1989" name="biBKruk-1989"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Kru89</span>]   <b class='BibAuthor'>Kruk, E. A.</b>,
<a href="http://mi.mathnet.ru/eng/ppi665"><i class='BibTitle'>Decoding Complexity Bound for Linear Block Codes</i></a>,
 <span class='BibJournal'>Probl. Peredachi Inf.</span>,
 <em class='BibVolume'>25</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1989</span>),
 <span class='BibPages'>103-107</span><br />
(<span class='BibNote'>(In Russian)</span>).
</p>


<p><a id="biBLeon-1988" name="biBLeon-1988"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Leo88</span>]   <b class='BibAuthor'>Leon, J. S.</b>,
 <i class='BibTitle'>A probabilistic algorithm for computing minimum
                  weights of large error-correcting codes</i>,
 <span class='BibJournal'>IEEE Trans. Info. Theory</span>,
 <em class='BibVolume'>34</em> (<span class='BibNumber'>5</span>)
 (<span class='BibYear'>1988</span>),
 <span class='BibPages'>1354 -1359</span>.
</p>


<p><a id="biBConwayPol-2022" name="biBConwayPol-2022"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>L\t21</span>]   <b class='BibAuthor'>L\"ubeck, F.,
<a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/data/ConwayPol/"><i class='BibTitle'>Conway polynomials for finite fields</i></a>
 (<span class='BibYear'>2021</span>)<br />
(<span class='BibNote'>[Downloaded on 2022-02-19]</span>).
</p>


<p><a id="biBNielsen-book" name="biBNielsen-book"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>NC00</span>]   <b class='BibAuthor'>Nielsen, M. A. and Chuang, I. L.</b>,
 <i class='BibTitle'>Quantum Computation and Quantum Infomation</i>,
 <span class='BibPublisher'>Cambridge Unive. Press</span>,
 <span class='BibAddress'>Cambridge, MA</span>
 (<span class='BibYear'>2000</span>).
</p>


<p><a id="biBSteel-1953" name="biBSteel-1953"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Ste53</span>]   <b class='BibAuthor'>Steel, R. G. D.</b>,
<a href="https://ecommons.cornell.edu/handle/1813/32480"><i class='BibTitle'>Relation Between Poisson and Multinomial
                  Distributions</i></a>,
 <span class='BibType'>Biometrics Unit Technical Reports</span>,
 <span class='BibOrganization'>Cornell University</span> (<span class='BibNumber'>BU-39-M</span>)
 (<span class='BibYear'>1953</span>).
</p>


<p><a id="biBZeng-Pryadko-hprod-2020" name="biBZeng-Pryadko-hprod-2020"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>ZP20</span>]   <b class='BibAuthor'>Zeng, W. and Pryadko, L. P.</b>,
<a href="https://link.aps.org/doi/10.1103/PhysRevA.102.062402"><i class='BibTitle'>Minimal distances for certain quantum product codes
                  and tensor products of chain complexes</i></a>,
 <span class='BibJournal'>Phys. Rev. A</span>,
 <em class='BibVolume'>102</em>
 (<span class='BibYear'>2020</span>),
 <span class='BibPages'>062402</span>.
</p>

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