News

Oct. 2, 2018

We have added the updated semidefinite programming bounds from https://arxiv.org/abs/1809.09352. more

Oct. 1, 2018

We have added the MDC bounds from https://arxiv.org/abs/1808.03580. more

Feb. 16, 2018

We have added files for all lifted maximum rank metric codes with cardinality at most 10000. more

Jan. 15, 2018

We added the paper Heinlein2018 more

More files could be added: C_2_10_6_5_32923.magma.zip, C_2_11_6_4_16717.magma.zip, C_2_11_6_4_16717.magma.zip, C_2_11_6_5_263478.magma.zip, C_2_12_6_4_66839.magma.zip, C_2_12_6_5_2105077.magma.zip, C_2_13_6_4_267897.magma.zip

Dec. 12, 2017

Second version of the manual more

The manual can be found here.

Nov. 17, 2017

\(A_2(8,6;4)=257\) is optimal and has been classified with 2 isomorphism types. more

We added the paper HeinleinHonoldKiermaierKurzWassermann2017. More details can be found: \(A_2(8,6;4)\).

Nov. 1, 2017

We added the paper HeinleinHonoldKiermaierKurzWassermann2017 more

Improvment of paper HeinleinKurz2017.

Aug. 1, 2017

We added the paper KiermaierKurz2017 more

April 12, 2017

The upper bound of \(A_2(8,6;4)\) could be improved from 289 to 272. Added code for \(A_2(8,3) \ge 5687\). more

More details can be found: \(A_2(8,6;4) \le 272\) and \(A_2(8,3) \ge 5687\).

March 23, 2017

Added codes for \(A_2(7,3) \ge 614\), \(A_2(8,4;3) \ge 1326\), \(A_2(8,4;4) \ge 4801\), \(A_2(9,4;3) \ge 5986\), \(A_2(10,4;3) \ge 23870\), and \(A_2(11,4;3) \ge 97526\) more

More details can be found \(A_2(7,3) \ge 614\), \(A_2(8,4;3) \ge 1326\), \(A_2(8,4;4) \ge 4801\), \(A_2(9,4;3) \ge 5986\), \(A_2(10,4;3) \ge 23870\), and \(A_2(11,4;3) \ge 97526\).

Dec. 9, 2016

624 nonisomorphic codes have been added for \(A_2(8,6;3)=34\) more

More details can be found here.

July 11, 2016

New upper bounds for partial spreads by Esmeralda Nastase and Papa Sissokho implemented more

We added the paper NastaseSissokho2017.

June 28, 2016

New upper bounds for partial spreads implemented more

We added the paper Kurz20173. Exemplary improvements:

• \(A_2(11,8;4) \le 132\)
• \(A_2(15,8;4) \le 2180\)
• \(A_2(16,12;6) \le 1032\)
• \(A_2(17,12;6) \le 2066\)
• \(A_2(19,14;7) \le 4113\)
• \(A_2(19,8;4) \le 34948\)
• \(A_3(15,12;6) \le 19695\)
• \(A_3(17,14;7) \le 59060\)
• \(A_3(19,16;8) \le 177157\)
• \(A_4(10,8;4) \le 4103\)
• \(A_4(14,8;4) \le 1052679\)
• \(A_4(15,12;6) \le 262175\)
• \(A_7(10,8;4) \le 117671\)
• \(A_8(10,8;4) \le 262173\)
• \(A_9(10,8;4) \le 531478\)

March 22, 2016

\(333 \le A_2(7,4;3)\) more

By an exhaustive search of all symmetry groups that yield a code of size at least 329 we found: \(333 \le A_2(7,4;3)\), see HeinleinKiermaierKurzWassermann2017

Feb. 26, 2016

Statistics of the most effective lower and upper bounds introduced more

We automatically rank each constraint in the CDC and MDC setting.

Feb. 7, 2016

Alexander Shishkin contributed to the homepage more

Many additional informations based on the multilevel construction added, e.g., \(A_2(11,6;4)\), \(A_2(11,4;4)\), \(A_2(11,4;5)\), and \(A_2(12,4;5)\).

Feb. 6, 2016

Ivan David Molina Naizir contributed to the homepage more

Additional informations on cyclic codes for: \(A_2(8,4;4)\), \(A_2(10,4;3)\), and \(A_2(10,10;5)\).

Jan. 1, 2016

First version of the manual more

The manual can be found here. The preferred way to cite this homepage can be found here.

Nov. 23, 2015

\(4173 \le A_2(10,6;4)\) more

A corresponding code was found in the paper HeinleinKurz20173.