Designs and codes from fixed points of alternating groups

DOI10.1080/00927872.2021.2002886zbMath1486.05029OpenAlexW4200312954MaRDI QIDQ5067686

Amin Saeidi

Publication date: 4 April 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.2002886

zbMATH Keywords

fixed pointdesigncodealternating group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Simple groups: alternating groups and groups of Lie type (20D06) Decoding (94B35)

Cites Work

• Permutation decoding for the binary codes from triangular graphs.
• Designs from maximal subgroups and conjugacy classes of Ree groups
• Constructing some designs invariant underPSL₂(q),qeven
• Symmetric $1$-designs from $PSL_{2}(q),$ for $q$ a power of an odd prime
• Designs and codes from involutions of A_n
• Designs and codes from fixed points of finite groups
• Symmetric 1-designs from PGL2(q), for q an odd prime power
• Some symmetric designs invariant under the small Ree groups
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