Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Constructions of optimal LCD codes over large finite fields - MaRDI portal

Constructions of optimal LCD codes over large finite fields

From MaRDI portal
Publication:1696753

DOI10.1016/j.ffa.2017.11.007zbMath1436.94115arXiv1704.04083OpenAlexW2605912963MaRDI QIDQ1696753

Minjia Shi, Patrick Solé, Lin Sok

Publication date: 15 February 2018

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04083




Related Items (36)

Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ringNew entanglement-assisted quantum codes from \(k\)-Galois dual codesDesign of \(\mathcal{T}\)-\textit{direct} codes over \(\mathrm{GF}(2^N)\) with increased usersFactorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codesOn MDS negacyclic LCD codesGroup LCD and group reversible LCD codesAdditive cyclic complementary dual codes over \(\mathbb{F}_4\)Cyclic codes over \(\mathbb{F}_2 +u\mathbb{F}_2 +v\mathbb{F}_2 +v^2 \mathbb{F}_2\) with respect to the homogeneous weight and their applications to DNA codesON LCD CODES OVER FINITE CHAIN RINGSAdditive complementary dual codes over \(\mathbb{F}_4\)LCD codes from equitable partitions of association schemesA new concatenated type construction for LCD codes and isometry codesCyclic and LCD Codes over a Finite Commutative Semi-local RingAn improved method for constructing formally self-dual codes with small hullsNiederreiter-Rosenbloom-Tsfasman LCD codesLCP of constacyclic codes over finite chain ringsMDS or NMDS LCD codes from twisted Reed-Solomon codesFormally self-dual LCD codes from two-class association schemesSome new bounds on LCD codes over finite fieldsOptimal quaternary Hermitian LCD codes and their related codesClassification of binary self-orthogonal codes of lengths from 16 to 20 and its applicationLinear complementary pairs of codes over ringsOn self-duality and hulls of cyclic codes over \(\frac{\mathbb{F}_{2^m}[u}{\langle u^k\rangle}\) with oddly even length] ⋮ Some skew constacyclic codes over \(\mathbb{F}_q+u\mathbb{F}_q\)Complete weight enumerators of a class of linear codes over finite fieldsLCD codes from weighing matricesLinear codes with one-dimensional hull associated with Gaussian sumsGalois hulls of linear codes over finite fieldsSelf-dual codes and orthogonal matrices over large finite fieldsConstruction of irreducible polynomials through rational transformationsOn Hermitian LCD codes and their gray imageOptimal binary and ternary linear codes with hull dimension oneFurther results on Euclidean and Hermitian linear complementary dual codesLinear complementary dual codes over ringsConstruction of LCD-MRD codes of length n > NA new method for constructing linear codes with small hulls


Uses Software


Cites Work


This page was built for publication: Constructions of optimal LCD codes over large finite fields