Linear codes from support designs of ternary cyclic codes

DOI10.1007/s10623-021-01001-3zbMath1492.94213OpenAlexW4205993871WikidataQ114849803 ScholiaQ114849803MaRDI QIDQ2115741

Wei Guo, Pan Tan, Sihem Mesnager, Cui Ling Fan

Publication date: 21 March 2022

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-021-01001-3

zbMATH Keywords

2-designsgeneralized Reed-Muller codesternary cyclic codes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Cyclic codes (94B15)

Cites Work

• Infinite families of 2-designs from a class of non-binary Kasami cyclic codes
• Infinite families of 2-designs and 3-designs from linear codes
• Infinite families of 2-designs from two classes of binary cyclic codes with three nonzeros
• Linear codes of 2-designs as subcodes of the generalized Reed-Muller codes
• Infinite families of 2-designs from linear codes
• Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes
• Infinite families of 3-designs from a type of five-weight code
• Fundamentals of Error-Correcting Codes
• Designs from Linear Codes
• Infinite Families of Near MDS Codes Holding t-Designs
• An Infinite Family of Linear Codes Supporting 4-Designs
• Infinite families of 2‐designs from a class of cyclic codes

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