New QC Codes over GF(11)

被引:0
|
作者
Daskalov, Rumen [1 ]
Metodieva, Elena [1 ]
机构
[1] Tech Univ Gabrovo, Dept Math & Informat, Gabrovo 5300, Bulgaria
来源
PROCEEDINGS OF THE 2020 SEVENTEENTH INTERNATIONAL WORKSHOP ON ALGEBRAIC AND COMBINATORIAL CODING THEORY ALGEBRAIC AND COMBINATORIAL CODING THEORY (ACCT 2020): PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL WORKSHOP ON ALGEBRAIC AND COMBINATORIAL CODING THEORY ACCT 2020 | 2020年
关键词
Finite field; linear codes; cyclic codes; QC codes; QUASI-TWISTED CODES; MINIMUM DISTANCE; NONEXISTENCE; BOUNDS;
D O I
10.1109/ACCT51235.2020.9383337
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A linear code of length n, dimension k and minimum distance d over GF(q) is denoted by [n, k, d](q). One of the main problem in linear coding theory is - for given length and dimension to construct codes with best possible minimum distances. In this talk we present 10 new QC codes.
引用
收藏
页码:51 / 54
页数:4
相关论文
共 50 条
  • [21] ON THE COVERING RADIUS OF THE LINEAR CODES GENERATED BY THE AFFINE GEOMETRIES OVER GF(4)
    Kovalenko, M. E.
    PRIKLADNAYA DISKRETNAYA MATEMATIKA, 2014, 26 (04): : 72 - +
  • [22] New quasi-twisted codes over F-11-minimum distance bounds and a new database
    Chen, Eric Zhi
    Aydin, Nuh
    JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2015, 36 (1-2) : 129 - 157
  • [23] On binary images of shortened cyclic (8,5) codes over GF(28)
    Tokushige, H
    Tanone, T
    Kasami, T
    IEEE COMMUNICATIONS LETTERS, 2004, 8 (04) : 253 - 255
  • [24] New classes of binary few weight codes from trace codes over a chain ring
    Li, Xiaoxiao
    Shi, Minjia
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (03) : 1869 - 1880
  • [25] LCD Cyclic Codes Over Finite Fields
    Li, Chengju
    Ding, Cunsheng
    Li, Shuxing
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, 63 (07) : 4344 - 4356
  • [26] Quasi-Twisted Codes over F11
    Gulliver, T. Aaron
    ARS COMBINATORIA, 2011, 99 : 3 - 17
  • [27] Non-binary quantum synchronizable codes based on cyclic codes over Fq
    Sun, Shiwen
    Yan, Tongjiang
    Sun, Yuhua
    Wang, Tao
    Wang, Xueting
    QUANTUM INFORMATION PROCESSING, 2023, 22 (01)
  • [28] Linear codes over finite rings are trace codes
    Lu, Yaqi
    Shi, Minjia
    Greferath, Marcus
    Sole, Patrick
    DISCRETE MATHEMATICS, 2020, 343 (08)
  • [29] Extendability of linear codes over GF(q) with minimum distance d, gcd(d, q)=1
    Maruta, T
    DISCRETE MATHEMATICS, 2003, 266 (1-3) : 377 - 385
  • [30] NMDS codes of maximal length over Fq, 8 ≤ q ≤ 11
    Marcugini, S
    Milani, A
    Pambianco, F
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (04) : 963 - 966