Two or Few-Weight Trace Codes over ${\mathbb{F}_{q}}+u{\mathbb{F}_{q}}$
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Publication:5223962
DOI10.1109/TIT.2019.2891562zbMath1431.94160OpenAlexW2909174691MaRDI QIDQ5223962
Publication date: 19 July 2019
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tit.2019.2891562
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Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal gray image ⋮ Two classes of optimal \(p\)-ary few-weight codes from down-sets ⋮ Application of optimal \(p\)-ary linear codes to alphabet-optimal locally repairable codes ⋮ New classes of binary few weight codes from trace codes over a chain ring ⋮ Three new constructions of optimal linear codes with few weights ⋮ Few-weight codes over \(\mathbb{F}_p + u \mathbb{F}_p\) associated with down sets and their distance optimal Gray image ⋮ A unified construction of optimal and distance optimal two or three-weight codes ⋮ Two classes of optimal few-weight codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q\) ⋮ Minimal linear codes from defining sets over \(\mathbb{F}_p + u \mathbb{F}_p\) ⋮ Linear codes with eight weights over \(\mathbb{F}_p+u\mathbb{F}_p\) ⋮ Infinite families of optimal linear codes and their applications to distributed storage systems
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