Infinite Families of 3-Designs and 2-Designs From Almost MDS Codes

DOI10.1109/TIT.2022.3157199zbMath1505.05026OpenAlexW4214828742MaRDI QIDQ5088558

Longjiang Qu, Guangkui Xu, Xiwang Cao

Publication date: 13 July 2022

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

Full work available at URL: https://doi.org/10.1109/tit.2022.3157199

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05)

Related Items (8)

Near MDS codes of non-elliptic-curve type from Reed-Solomon codes ⋮ Constructions of cyclic codes and extended primitive cyclic codes with their applications ⋮ Roots of certain polynomials over finite fields ⋮ New infinite families of near MDS codes holding \(t\)-designs ⋮ New support 5-designs from lifted linear codes ⋮ Group codes over crystallographic point groups ⋮ Four new families of NMDS codes with dimension 4 and their applications ⋮ Infinite families of 3-designs from special symmetric polynomials

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