Results 41 to 50 of about 168,087 (140)

Constructions of optimal LCD codes over large finite fields

open access: yes, 2017
In this paper, we prove existence of optimal complementary dual codes (LCD codes) over large finite fields. We also give methods to generate orthogonal matrices over finite fields and then apply them to construct LCD codes.
Shi, Minjia, Sok, Lin, Solé, Patrick
core   +2 more sources

Euclidean and Hermitian LCD MDS codes

open access: yes, 2017
Linear codes with complementary duals (abbreviated LCD) are linear codes whose intersection with their dual is trivial. When they are binary, they play an important role in armoring implementations against side-channel attacks and fault injection attacks.
Carlet, Claude   +3 more
core   +2 more sources

Polycyclic Codes and Their Application in Constructing AEAQECCs

open access: yesAxioms
In this article, we study polycyclic codes over the ring R=Fq[v]/⟨v2−1⟩, where q=pm with p being an odd prime. First, we introduce polycyclic codes and sequential codes over R, and characterize the structural properties of these polycyclic codes.
Juan Li, Yunbo Tian, Fanghui Ma
doaj   +1 more source

Analysis of Located Problems in Isfahan City-Region by Using of Social Network Analysis [PDF]

open access: yesتحقیقات کاربردی علوم جغرافیایی, 2020
Isfahan City-Region is a collection of cities and towns with shareable common ground (such as communications, infrastructure, population and climate) at the geographical level of the city of Isfahan and its surroundings, and their social, economic ...
Daryoush Moradi Chadegani   +2 more
doaj  

Duality of Channel Encoding and Decoding - Part I: Rate-1 Binary Convolutional Codes

open access: yes, 2016
In this paper, we revisit the forward, backward and bidirectional Bahl-Cocke-Jelinek-Raviv (BCJR) soft-input soft-output (SISO) maximum a posteriori probability (MAP) decoding process of rate-1 binary convolutional codes.
Bahl   +7 more
core   +1 more source

Construction of Hermitian Self-Orthogonal Codes and Application

open access: yesMathematics
We introduce some methods for constructing quaternary Hermitian self-orthogonal (HSO) codes, and construct quaternary [n, 5] HSO for 342≤n≤492. Furthermore, we present methods of constructing Hermitian linear complementary dual (HLCD) codes from known ...
Yuezhen Ren, Ruihu Li, Hao Song
doaj   +1 more source

On MDS Negacyclic LCD Codes

open access: yes, 2018
Linear codes with complementary duals (LCD) have a great deal of significance amongst linear codes. Maximum distance separable (MDS) codes are also an important class of linear codes since they achieve the greatest error correcting and detecting ...
Koroglu, Mehmet E., Sarı, Mustafa
core   +1 more source

Complementary Dual Codes for Counter-Measures to Side-Channel Attacks [PDF]

open access: yesAdvances in Mathematics of Communications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Claude Carlet, Sylvain Guilley
openaire   +4 more sources

Optimal Quaternary Hermitian LCD Codes

open access: yesEntropy
Linear complementary dual (LCD) codes, which are a class of linear codes introduced by Massey, have been extensively studied in the literature recently.
Liangdong Lu, Ruihu Li, Yuezhen Ren
doaj   +1 more source

The condition for a cyclic code to have a complementary dual

open access: yesDiscrete Mathematics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiang Yang, James L. Massey
openaire   +2 more sources

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