[图书][B] Concise encyclopedia of coding theory

WC Huffman, JL Kim, P Solé - 2021 - api.taylorfrancis.com
Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

Extremal binary and ternary codes of length 60 with an automorphism of order 29 and a generalization

S Bouyuklieva, J de la Cruz, D Villar - Mathematics, 2022 - mdpi.com
In this paper, all extremal Type I and Type III codes of length 60 with an automorphism of
order 29 are classified up to equivalence. In both cases, it has been proven that there are …

On the Classification of Self-Dual\mathbb {Z} k-Codes II

M Harada, A Munemasa - Interdisciplinary Information Sciences, 2016 - jstage.jst.go.jp
Let Zk be the ring of integers modulo k, where k is a positive integer greater than 1. AZ k-
code C of length n is a Zk-submodule of Zn k. A code C is self-dual if C ¼ C?, where the dual …

[PDF][PDF] A Method for Construction of Orthogonal Arrays

I Bouyukliev, M Hristova - … Workshop on Optimal Codes and Related …, 2017 - math.bas.bg
A Method for Construction of Orthogonal Arrays 1 Page 1 Eighth International Workshop on
Optimal Codes and Related Topics July 10-14, 2017, Sofia, Bulgaria pp. 49-54 A Method for …

Binary isodual codes having an automorphism of odd prime order

S Bouyuklieva, R Russeva, E Karatash - Mathematics in Computer …, 2020 - Springer
The aim of this work is to describe the structure and properties of the binary isodual codes
having automorphisms of odd prime order and to present a method for their construction. As …

[PDF][PDF] ИЗСЛЕДВАНЕ И КЛАСИФИКАЦИЯ НА САМОДУАЛНИ КОДОВЕ: ГРУПА ОТ АВТОМОРФИЗМИ, ЧЕТИРИ ЦИРКУЛАНТНА КОНСТРУКЦИЯ, СЪСЕДИ

ДС АНЕВ - shu.bg
Теорията на кодирането е динамична, бързо развиваща се математическа
дисциплина, в която се прилагат идеи от алгебрата, комбинаториката, геометрията и …

[PDF][PDF] МЕТОДИ ЗА КОНСТРУИРАНЕ НА САМОДУАЛНИ КОДОВЕ

МН ИВАНОВА - shu.bg
Съвременната теория на кодирането е динамична дисциплина, в която се прилагат
идеи от алгебрата, комбинаториката, геометрията, както и от други математически …

A note on reducing the computation time for minimum distance and equivalence check of binary linear codes

N Yankov, K Enev - arXiv preprint arXiv:1809.03764, 2018 - arxiv.org
In this paper we show the usability of the Gray code with constant weight words for
computing linear combinations of codewords. This can lead to a big improvement of the …

[PDF][PDF] Further results on the classification of binary self-dual [52, 26, 10] codes with an automorphism of odd prime order

N Yankov, R Russeva - dim - academia.edu
The paper presents the next step on the complete classification of all optimal binary selfdual
codes of length 52 that possess an automorphism of odd prime order. Applying the method …

On the Classification of Self-Dual ℤκ-Codes II.

M HARADA, A MUNEMASA - Interdisciplinary Information …, 2016 - search.ebscohost.com
On the Classification of Self-Dual Zk-Codes II Page 1 On the Classification of Self-Dual Zk-Codes
II Masaaki HARADA1;Ã and Akihiro MUNEMASA2 1Research Center for Pure and Applied …