On the classification of quaternary optimal Hermitian LCD codes

被引：5
作者：
Araya, Makoto [1 ]
Harada, Masaaki [2 ]
机构：
[1] Shizuoka Univ, Dept Comp Sci, Hamamatsu, Shizuoka 4328011, Japan
[2] Tohoku Univ, Grad Sch Informat Sci, Res Ctr Pure & Appl Math, Sendai, Miyagi 9808579, Japan
来源：
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2022年 / 14卷 / 04期
关键词：
Quaternary Hermitian code; Linear complementary dual code; Griesmer bound; LINEAR CODES; DUAL CODES; COMPLEMENTARY;
D O I：
10.1007/s12095-021-00552-5
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We propose a method for classifying quaternary Hermitian LCD codes having large minimum weights. For example, we classify quaternary optimal Hermitian LCD codes of dimension 3.
引用
收藏
页码：833 / 847
页数：15
相关论文
共 15 条
  • [1] [Anonymous], 2008, RES QUANTUM CODES SE
  • [2] Characterization and classification of optimal LCD codes
    Araya, Makoto
    Harada, Masaaki
    Saito, Ken
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2021, 89 (04) : 617 - 640
  • [3] Quaternary Hermitian Linear Complementary Dual Codes
    Araya, Makoto
    Harada, Masaaki
    Saito, Ken
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (05) : 2751 - 2759
  • [4] On the classification of linear complementary dual codes
    Araya, Makoto
    Harada, Masaaki
    [J]. DISCRETE MATHEMATICS, 2019, 342 (01) : 270 - 278
  • [5] The Magma algebra system .1. The user language
    Bosma, W
    Cannon, J
    Playoust, C
    [J]. JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) : 235 - 265
  • [6] Linear Codes Over Fq Are Equivalent to LCD Codes for q > 3
    Carlet, Claude
    Mesnager, Sihem
    Tang, Chunming
    Qi, Yanfeng
    Pellikaan, Ruud
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2018, 64 (04) : 3010 - 3017
  • [7] COMPLEMENTARY DUAL CODES FOR COUNTER-MEASURES TO SIDE-CHANNEL ATTACKS
    Carlet, Claude
    Guilley, Sylvain
    [J]. ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2016, 10 (01) : 131 - 150
  • [8] Quasi-cyclic complementary dual codes
    Guneri, Cem
    Ozkaya, Buket
    Sole, Patrick
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2016, 42 : 67 - 80
  • [9] Ishizuka K., 2020, J ALGEBRA COMB DISCR, V7, P229
  • [10] Kaski Petteri, 2006, CLASSIFICATION ALGOR, DOI DOI 10.1007/3-540-28991-7
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