Updates in reverse chronological order

Below we provide information on new entries, starting on 2020-07-17.

Linear Block Codes

GF(2)

2022-08-11
quasicylic codes [234,51,63]2 and [234,52,62]2 by
Fernando Hernando, Francisco D. Igual, and Gregorio Quintana-Ortí,
"Algorithm 994: Fast Implementations of the Brouwer-Zimmermann Algorithm for the Computation of the Minimum Distance of a Random Linear Code,"
ACM Transactions on Mathematical Software, 45(2), article no. 23, June 2019,
DOI: 10.1145/3302389
5 derived codes
2021-08-31
codes via puncturing shortened cyclic codes:
[113,28,33]2, [216,42,63]2, [220,42,65]2,
7 derived codes
2021-08-19
quasicyclic code [111,38,25]2 by Dev Akre, Nuh Aydin, Matthew J. Harrington, Saurav Pandey arXiv:2108.10316,
1 derived code
2021-08-12
codes [99,31,26]2 and [178,52,42]2 by Dev Akre, Nuh Aydin, Matthew J. Harrington, Saurav Pandey arXiv:2108.06752 via Construction X using quasicyclic codes,
6 derived codes
2021-08-12
code [119,30,34]2 by Eric Chen, applying Construction X to quasicyclic codes [116,30,32]2 and [116,28,34]2,
1 derived code
2021-04-23
codes via puncturing cyclic and shortened cyclic codes:
[213,30,73]2, [227,36,73]2, [229,35,75]2, [230,33,77]2 from
Motoyuki Watanabe and Masakatu Morii,
"A New Method for Constructing Good Linear Codes; updating on the minimum distance of some linear codes,"
Proc. SITA2012, pp.636-638, Dec. 2012.
[216,30,75]2, [220,47,61]2, [224,34,73]2, [224,42,67]2, [224,47,63]2, [225,40,69]2, [228,42,69]2, [228,45,67]2, [229,47,66]2, [230,41,71]2, [231,39,73]2, [231,47,67]2, [232,37,75]2, [232,45,69]2, [234,44,71]2, [235,42,73]2, [235,47,69]2, [237,45,72]2, [238,47,71]2, [239,45,73]2, [241,47,73]2, [242,45,75]2 from
Takuya Ohara, Makoto Takita and Masakatu Morii,
"A Construction of Binary Punctured Linear Codes and A Supporting Method for Best Code Search,"
Proc. 2020 International Symposium on Information Theory and Its Applications (ISITA), Oct. 2020.
IEEE Xplore: 9366122
173 derived codes
2020-10-14
puncturing [240,21,104]2 at specific positions:
[208,21,81]2, [210,21,82]2, [213,21,84]2, [215,21,85]2, [218,21,87]2, [220,21,88]2, [223,21,90]2, [226,21,92]2, [229,21,94]2,
24 derived codes
2020-10-14
applying Construction X to Goppa codes of length 240:
[254,22,106]2, [249,21,106]2,
6 derived codes
2020-10-14
Goppa code [240,21,104]2, contributed by Jan L. Carrasquillo López, Axel O. Gómez Flores, Fernando Piñero, and Christopher Soto
28 derived codes
Jan L. Carrasquillo-López, Axel O. Gómez-Flores, Christopher Soto, Fernando Piñero,
"Introducing Three Best Known Goppa Codes,"
arXiv:2010.07278 [cs.IT], October 2020

GF(3)

2021-09-18
quasicyclic code [176,43,61]3,
34 derived codes
2021-08-29
code [102,27,37]3 via Construction X applied to quasicyclic code [99,27,35]3 and quasicyclic code [99,25,37]3
2021-08-27
code [124,28,48]3 via Construction X applied to quasicyclic code [112,28,42]3 and quasicyclic code [112,22,48]3,
3 derived codes
2021-08-26
the following codes are obtained applying Construction XX to quasicylic codes:
[106,23,43]3, [109,23,44]3, [142,26,60]3, [167,23,77]3, [169,23,78]3, [171,27,74]3, [175,26,77]3, [177,26,78]3,
4 derived codes
2021-08-26
code [179,40,64]3 via Construction X applied to quasicyclic code [176,40,62]3 and quasicyclic code [176,38,64]3,
3 derived codes
2021-08-25
code [177,18,90]3 via Construction X applied to quasicyclic code [176,18,89]3 and quasicyclic code [176,17,90]3
2021-08-25
quasicyclic code [176,18,89]3,
1 derived code
2021-08-25
quasicyclic code [176,40,62]3,
2 derived codes
2021-08-19
quasicyclic code [176,39,64]3,
11 derived codes
2021-08-18
code [178,38,66]3 applying Construction X to quasicyclic codes [176,38,64]3 and [176,37,66]3,
1 derived code
2021-08-17
quasicyclic code [176,37,66]3,
4 derived codes
2021-08-13
the following codes are obtained by Dev Akre, Nuh Aydin, Matthew J. Harrington, Saurav Pandey arXiv:2108.06752 applying Construction X to quasicylic codes:
[100,28,35]3, [101,26,37]3, [107,23,43]3, [108,31,36]3, [114,23,48]3, [190,24,88]3, [161,27,69]3, [164,27,70]3, [167,27,72]3, [170,26,75]3, [170,27,73]3, [219,14,123]3,
12 derived cdoes
2021-08-13
quasicyclic code [112,23,46]3 by Dev Akre, Nuh Aydin, Matthew J. Harrington, Saurav Pandey arXiv:2108.06752
2021-08-12
code [178,18,90]3 by Eric Chen, applying Construction X to quasicyclic codes [176,18,88]3 and [176,17,90]3,
1 derived code

GF(4)

2022-11-10-29
constacyclic code [111,90,9]4 contributed by Dastbasteh & Lisonek arXiv 2211.00897
and supercode [111,91,9]4
38 derived codes
2020-09-29
quasicyclic code [88,45,21]4 from a skew-cyclic code, contributed by Padmapani Seneviratne
1 derived code
2020-09-23
code [109,63,28]4
via Construction X from constacyclic codes
9 derived codes
2020-08-31
constacyclic code [105,63,18]4
12 derived codes
2020-08-23
quasicyclic code from a skew-cyclic code, contributed by Padmapani Seneviratne, minimum distance computed by Markus Grassl:
[96,49,22]4
2 derived codes
2020-08-21
code [109,48,28]4
via Construction X from constacyclic codes
4 derived codes
2020-08-12
constacyclic code [105,45,28]4
6 derived codes
2020-08-09
constacyclic code [105,60,20]4
25 derived codes
2020-08-05
quasicyclic code from a skew-cyclic code, contributed by Padmapani Seneviratne:
[72,36,29]4
6 derived codes
2020-08-03
codes [98,42,27]4, [101,42,28]4 using Construction X
2 derived codes
2020-08-03
quasicyclic code [96,41,27]4
code [98,41,28]4 using Construction X
7 derived codes
2020-07-29
code [97,40,28]4 using Construction X
code [97,45,25]4 using Construction X
code [99,46,25]4 using Construction XX
2020-07-28
quasicyclic code [96,44,25]4
code [98,40,28]4 using Construction X
2 derived codes
2020-07-27
quasicyclic codes from skew-cyclic codes, contributed by Padmapani Seneviratne:
[96,39,28]4, [96,40,27]4
2 derived codes
2020-07-24
quasicyclic code [96,43,26]4
code [98,44,26]4 using Construction X
14 derived codes in total
2020-07-18
cyclic code [113,42,36]4
63 derived codes
2020-07-17
quasicyclic codes from skew-cyclic codes, contributed by Padmapani Seneviratne:
[52,28,13]4, [56,22,20]4, [56,23,19]4, [56,29,15]4, [72,34,20]4, [72,35,19]4, [72,37,18]4, [72,38,17]4, [64,29,19]4
17 derived codes

GF(5)

2021-08-13
applying Construction X to cyclic and quasicyclic codes, contributed by Dev Akre, Nuh Aydin, Matthew J. Harrington, Saurav Pandey:
[65,51,8]5, [81,18,40]5
2021-08-12
quasicyclic codes and codes applying Construction X to quasicyclic codes, contributed by Eric Chen:
[39,10,21]5, [68,11,40]5, [73,9,47]5, [75,11,45]5, [93,9,62]5,
2 derived codes

GF(7)

2023-02-22
code [59,17,29]7 via Construction X using cyclic codes [57,17,27]7 and [57,16,29]7,
1 derived code
2021-08-26
code [81,15,47]7 via puncturing of constacyclic code [93,15,58]7
2021-08-19
constacyclic code [93,15,58]7 by Dev Akre, Nuh Aydin, Matthew J. Harrington, Saurav Pandey arXiv:2108.08619,
21 derived codes

GF(8)

GF(9)

Quantum Codes

qubit codes

2023-01-03
[[40,6,10]]2 found by Padmapani Seneviratne from a skew-cyclic (quasi-cyclic) GF(4)-linear code
12 derived codes
2022-11-27
[[79,11,15]]2 from random GF(4)-linear code
3 derived codes
2022-11-10
[[54,32,6]]2 found by Dastbasteh & Lisonek using quantum Construction X on a yclic code arXiv 2211.00897
1 derived code
2022-11-10
[[114,72,9]]2 found by Dastbasteh & Lisonek using quantum Construction X on a constacyclic code arXiv 2211.00897
[[113,73,9]]2 applying quantum Construction X to a supercode of a constayclic code
35 derived codes
2022-08-02
additive cyclic codes [[45,16,8]]2, [[47,23,7]]2, [[51,26,7]]2, [[55,20,9]]2, [[55,25,8]]2, [[63,31,8]]2, [[91,60,7]]2, [[93,63,7]]2, and [[105,74,7]]2 by Chaofeng Guan, Ruihu Li, Liangdong Lu, and Yu Yao,
26 derived codes
Chaofeng Guan, Ruihu Li, Liangdong Lu, and Yu Yao,
"New Binary Quantum Codes Constructed from Quasi-Cyclic Codes",
arXiv:2112.07137 [cs.IT]