Results 171 to 180 of about 24,402 (186)

Some constructions of $l$-Galois LCD codes

Advances in Mathematics of Communications
Let \({\mathbb F}_q\) be the finite field with \(q = p^m\) elements. The Galois inner product is a generalization of Hermitian and Euclidean inner products. It's defined as \(a\ast_ l b= \sum\limits_{i=1}^{n}a_ib_i^{p^l},\) where \(0\leq l\leq m-1.\) Similarly, we can define the \(l\)-Galois dual code of \(C\) as \(C^{\bot_l}=\{a\in \mathbb{F}_q^n\vert
Yadav, Shikha, Debnath, Indibar, Prakash, Om   +2 more
openaire   +2 more sources

On LCD MRD Codes

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2018
Minjia SHI, Daitao HUANG
openaire   +1 more source

New LCD MDS Codes of Non-Reed-Solomon Type

IEEE Transactions on Information Theory, 2021
Wu Yansheng, Jong Yoon Hyun, Yoonjin Lee
exaly  

LCD and ACD codes over a noncommutative non-unital ring with four elements

Cryptography and Communications, 2021
Minjia Shi, Shitao Li, Jon-Lark Kim
exaly  

Construction methods for Galois LCD codes over finite fields

Journal of Applied Mathematics and Computing, 2023
Gyanendra Kumar Verma, ASTHA AGRAWAL, Rajendra Sharma   +2 more
exaly  

Constructions of LCD subspace codes

The dual code of a code C is the orthogonal complement of C under the standard inner product (· , ·). Linear codes with complementary duals, or LCD codes, are linear codes whose intersection with their duals are trivial. LCD codes were introduced by Massey in [5] and have been widely applied in information protection, electronics and cryptography.
Crnković, Dean, Švob, Andrea
openaire  

Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes

IEEE Communications Letters, 2020
Wu Yansheng, Yoonjin Lee
exaly  

An overview on skew constacyclic codes and their subclass of LCD codes

Advances in Mathematics of Communications, 2021
Boucher Delphine
exaly  

Linear Codes Over $\mathbb F_q$ Are Equivalent to LCD Codes for $q>3$

IEEE Transactions on Information Theory, 2018
Claude Carlet, Sihem Mesnager, Chunming Tang   +2 more
exaly  

The combinatorics of LCD codes: linear programming bound and orthogonal matrices

International Journal of Information and Coding Theory, 2017
Buket Özkaya, Lin Sok, Patrick Solé
exaly