On a new family of symmetry codes and related new five-designs

DOI10.1090/S0002-9904-1969-12418-3zbMath0188.04005OpenAlexW1969700067MaRDI QIDQ5581648

Vera S. Pless

Publication date: 1969

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1969-12418-3

zbMATH Keywords

minimum weightsinfinite family of error-correcting codesnew 5-designssymmetry codes

Mathematics Subject Classification ID

Other designs, configurations (05B30) Other types of codes (94B60)

Related Items (12)

Holomorphic SCFTs with small index ⋮ Algebraic theory of block codes detecting independent errors ⋮ Linear codes and cyclic codes over finite rings and their generalizations: a survey ⋮ Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2 ⋮ Distance-regular graphs and new block designs obtained from the Mathieu groups ⋮ The family of t-designs. Part I ⋮ Block designs from self-dual codes obtained from Paley designs and Paley graphs ⋮ Classes of self-orthogonal or self-dual codes from orbit matrices of Menon designs ⋮ Symmetry codes and their invariant subcodes ⋮ Symmetry codes over GF(3) and new five-designs ⋮ A survey of constructive coding theory, and a table of binary codes of highest known rate ⋮ On Pless symmetry codes, ternary QR codes, and related Hadamard matrices and designs

Cites Work

• Unnamed Item
• On t-Designs and Groups
• Power moment identities on weight distributions in error correcting codes
• Disjoint Steiner systems associated with the Mathieu groups
• On the uniqueness of the Golay codes
• New 5-designs

This page was built for publication: On a new family of symmetry codes and related new five-designs