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
Cyclotomic Linear Codes of Order $3$ - MaRDI portal

Cyclotomic Linear Codes of Order $3$

From MaRDI portal
Publication:3548230

DOI10.1109/TIT.2007.896886zbMath1323.94156OpenAlexW2113800264MaRDI QIDQ3548230

Cunsheng Ding, Harald Niederreiter

Publication date: 21 December 2008

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2007.896886




Related Items (83)

Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal gray imageThree-weight ternary linear codes from a family of power functionsTwo classes of optimal \(p\)-ary few-weight codes from down-setsApplication of optimal \(p\)-ary linear codes to alphabet-optimal locally repairable codesA construction of binary linear codes from Boolean functionsLinear codes from a generic constructionThree classes of linear codes with two or three weightsA class of cyclotomic linear codes and their generalized Hamming weightsWeight distributions of two classes of linear codes with five or six weightsComplete weight enumerators of some linear codes and their applicationsSeveral classes of binary linear codes and their weight enumeratorsA survey on the applications of Niho exponentsNew classes of binary few weight codes from trace codes over a chain ringTwo classes of two-weight linear codesTwo-weight and three-weight linear codes constructed from Weil sumsTwo classes of linear codes and their weight distributionsGeneralized Hamming weights of three classes of linear codesA construction of several classes of two-weight and three-weight linear codesOn the weight distribution of some minimal codesA Class of Three-Weight and Four-Weight CodesComplete weight enumerators of three classes of linear codesFive classes of optimal two-weight linear codesComplete weight enumerators of a class of three-weight linear codesLinear codes with few weights from cyclotomic classes and weakly regular bent functionsA construction of \(q\)-ary linear codes with irreducible cyclic codesComplete weight enumerators of a class of linear codes with two weightsConstruction of minimal linear codes with few weights from weakly regular plateaued functionsThree families of self-orthogonal codes and their application in optimal quantum codesSeveral classes of linear codes with few weights over finite fieldsTernary self-orthogonal codes from weakly regular bent functions and their application in LCD codesThree new constructions of optimal linear codes with few weightsTwo-weight and three-weight linear codes based on Weil sumsFew-weight codes over \(\mathbb{F}_p + u \mathbb{F}_p\) associated with down sets and their distance optimal Gray imageInfinite families of \(t\)-designs and strongly regular graphs from punctured codesThe punctured codes of two classes of cyclic codes with few weightsGeneralized Hamming weights of linear codes from cryptographic functionsSome shortened codes from linear codes constructed by defining setsCodes with few weights arising from linear setsConnection of \(p\)-ary \(t\)-weight linear codes to Ramanujan Cayley graphs with \(t+1\) eigenvaluesSeveral classes of \(p\)-ary linear codes with few weightsBinary linear codes with two or three weights from Niho exponentsDifference sets and three-weight linear codes from trinomialsTwo classes of 2-weight and 3-weight linear codes in terms of Kloosterman sumsTwo classes of optimal few-weight codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q\)A new class of optimal linear codes with flexible parametersFurther projective binary linear codes derived from two-to-one functions and their dualsWeight distributions of generalized quasi-cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\)Two new classes of projective two-weight linear codesSome two-weight and three-weight linear codesMinimal linear codes from weakly regular plateaued balanced functionsSeveral classes of linear codes and their weight distributionsTHE NONLINEARITY INDEX FOR A PIECEWISE-LINEAR SUBSTITUTION OF THE ADDITIVE GROUP OF THE FIELD F2nA link between combinatorial designs and three-weight linear codesProjective binary linear codes from special Boolean functionsMore constructions of 3-weight linear codesA construction of codes with linearity from two linear codesA class of linear codes with a few weightsTwo classes of \(p\)-ary bent functions and linear codes with three or four weightsSeveral classes of linear codes with few weights from the closed butterfly structureA class of linear codes with two weights or three weights from some planar functionsFour classes of linear codes from cyclotomic cosetsThree classes of binary linear codes with good parametersA kind of three-weight linear codesWeight enumerators of a class of linear codesLinear codes from vectorial Boolean power functionsEvaluation of the Hamming weights of a class of linear codes based on Gauss sumsCyclotomic trace codesConstructions of several classes of linear codes with a few weightsConstant composition codes as subcodes of linear codesA class of two or three weights linear codes and their complete weight enumeratorsA construction of \(p\)-ary linear codes with two or three weightsTwo classes of near-optimal codebooks with respect to the Welch boundRecent results and problems on constructions of linear codes from cryptographic functionsThe subfield codes of several classes of linear codesComplete weight enumerators of a class of linear codesA family of projective two-weight linear codesBinary linear codes with few weights from Boolean functionsNew linear codes with few weights derived from Kloosterman sumsWeight distributions and weight hierarchies of a family of \(p\)-ary linear codesCharacterization of \(p\)-ary functions in terms of association schemes and its applicationsLinear codes with eight weights over \(\mathbb{F}_p+u\mathbb{F}_p\)Two-weight or three-weight binary linear codes from cyclotomic mappingsInfinite families of optimal linear codes and their applications to distributed storage systems




This page was built for publication: Cyclotomic Linear Codes of Order $3$