ON THE CLASSIFICATION OF Z4-CODES

被引：2

作者：

Araya, Makoto ^{[1
]}

Harada, Masaaki ^{[2
]}

Ito, Hiroki ^{[3
]}

Saito, Ken ^{[2
]}

机构：

[1] Shizuoka Univ, Dept Comp Sci, Hamamatsu, Shizuoka 4328011, Japan

[2] Tohoku Univ, Res Ctr Pure & Appl Math, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan

[3] Koki Consultant Inc, Kitakata 9660902, Japan

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2017年 / 11卷 / 04期

关键词：

Z(4)-code; generator matrix; weight enumerator; CODES;

D O I：

10.3934/amc.2017054

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this note, we study the classification of Z(4)-codes. For some special cases (k(1), k(2)), by hand, we give a classification of Z(4)-codes of length n and type 4(k1) 2(k2) satisfying a certain condition. Our exhaustive computer search completes the classification of Z(4)-codes of lengths up to 7.

引用

页码：747 / 756

页数：10

共 50 条

[1] Duadic Z4-codes
Langevin, P
Solé, P
FINITE FIELDS AND THEIR APPLICATIONS, 2000, 6 (04) : 309 - 326
[2] Classification of extremal type II Z4-codes of length 24
Munemasa, Akihiro
Betty, Rowena Alma L.
DESIGNS CODES AND CRYPTOGRAPHY, 2024, 92 (03) : 771 - 785
[3] On the covering radius of Z4-codes and their lattices
Aoki, T
Gaborit, P
Harada, M
Ozeki, M
Solé, P
IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (06) : 2162 - 2168
[4] Classification of type IV self-dual Z4-Codes of length 16
Harada, M
Munemasa, A
FINITE FIELDS AND THEIR APPLICATIONS, 2000, 6 (03) : 244 - 254
[5] Centralizer algebras of the group associated to Z4-codes
Kosuda, Masashi
Oura, Manabu
DISCRETE MATHEMATICS, 2017, 340 (10) : 2437 - 2446
[6] Irreducible cyclic Z4-codes and allied sequences
Alahmadi, Adel
Helleseth, Tor
Muthana, Najat
Almuzaini, Atiqah
Sole, Patrick
2015 SEVENTH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS (IWSDA), 2015, : 160 - 164
[7] E-polynomials associated to Z4-codes
Motomura, Togo
Oura, Manabu
HOKKAIDO MATHEMATICAL JOURNAL, 2018, 47 (02) : 339 - 350
[8] An Assmus-Mattson theorem for Z4-codes
Tanabe, K
IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (01) : 48 - 53
[9] A criterion for designs in Z4-codes on the symmetrized weight enumerator
Tanabe, K
DESIGNS CODES AND CRYPTOGRAPHY, 2003, 30 (02) : 169 - 185
[10] Z4-codes and their Gray map images as orthogonal arrays
Cameron, Peter J.
Kusuma, Josephine
Sole, Patrick
DESIGNS CODES AND CRYPTOGRAPHY, 2017, 84 (1-2) : 109 - 114

← 1 2 3 4 5 →