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
A class of optimal \(p\)-ary codes from one-weight codes over \(\mathbb F_p[u]/\langle u^m\rangle\) - MaRDI portal

A class of optimal \(p\)-ary codes from one-weight codes over \(\mathbb F_p[u]/\langle u^m\rangle\)

From MaRDI portal
Publication:397712

DOI10.1016/j.jfranklin.2012.05.014zbMath1293.94114OpenAlexW2317746472MaRDI QIDQ397712

Minjia Shi, Shixin Zhu, Shan-Lin Yang

Publication date: 12 August 2014

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2012.05.014




Related Items (30)

A transform approach to polycyclic and serial codes over ringsMinimal linear codes from weakly regular bent functionsLinear codes over \({\mathbb{F}}_3+u\mathbb{F}_3+u^2\mathbb{F}_3\): MacWilliams identities, optimal ternary codes from one-Lee weight codes and two-Lee weight codesThe homogeneous distance of \((1+u^2)\)-constacyclic codes over \(\mathbb{F}_2[u/\langle u^3\rangle\) and its applications] ⋮ \(n\)-dimension quasi-twisted codes of arbitrary length over finite fieldsConstacyclic codes of length \(8p^s\) over \(\mathbb{F}_{p^m} + u\mathbb{F}_{p^m}\)Construction of one-Lee weight and two-Lee weight codes over \(\mathbb F_p+v\mathbb F_p\)Complete classification for simple root cyclic codes over the local ring \(\mathbb{Z}_4[v/\langle v^2+2v\rangle \)] ⋮ Classification of type I codes over \({\mathbb{F}}_4+u{\mathbb{F}}_4\)On the structure of repeated-root polycyclic codes over local ringsOn Hamming distance distributions of repeated-root constacyclic codes of length \(3p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\)Quadratic residue codes over \(\mathbb{F}_{p^r}+{u_1}\mathbb{F}_{p^r}+{u_2}\mathbb{F}_{p^r}+\dots+{u_t}\mathbb{F}_ {p^r}\)Construction of one-Gray weight codes and two-Gray weight codes over \(\mathbb{Z}_{4} + u \mathbb{Z}_{4}\)Quadratic residue codes over the ring \(\mathbb {F}_{p}[u/\langle u^{m}-u\rangle \) and their Gray images] ⋮ Five-weight codes from three-valued correlation of M-sequencesOptimal \(p\)-ary codes from one-weight and two-weight codes over \(\mathbb{F}_p + v\mathbb{F}_p^* \)One-weight and two-weight \(\mathbb{Z}_2\mathbb{Z}_2[u,v\)-additive codes] ⋮ Two infinite families of two-weight codes over \(\mathbb{Z}_{2^{m}}\)\(n\)-dimensional quasi-cyclic codes over finite chain ringsValue functions and two classes of binary codesUnnamed ItemLinear complementary pairs of codes over ringsConstruction of two-Lee weight codes overOn self-dual and LCD quasi-twisted codes of index two over a special chain ringNew classes of \(p\)-ary few weight codesEnumeration of \({\mathbb{Z}}_4\)-double cyclic codesOptimal binary codes from one-Lee weight codes and two-Lee weight projective codes over \(\mathbb Z_4\)Constacyclic codes over \(\mathbb{F}_{q^2}[u/\langle u^2-w^2 \rangle\) and their application in quantum code construction] ⋮ Construction of optimal codes from a class of constacyclic codesThree-weight codes over rings and strongly walk regular graphs



Cites Work


This page was built for publication: A class of optimal \(p\)-ary codes from one-weight codes over \(\mathbb F_p[u]/\langle u^m\rangle\)