Periodic Golay pairs and pairwise balanced designs

DOI10.1007/s10801-021-01084-0zbMath1493.05055OpenAlexW4206060158MaRDI QIDQ2114787

Ronan Egan, Dean Crnković, Doris Dumičić Danilović, Andrea Švob

Publication date: 15 March 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-021-01084-0

zbMATH Keywords

pairwise balanced designself-orthogonal codesperiodic Golay pair

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other designs, configurations (05B30) Special sequences and polynomials (11B83) Group actions on combinatorial structures (05E18)

Uses Software

• GAP
• Magma

Cites Work

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• Construction of block designs admitting an abelian automorphism group
• A new restriction on the lengths of Golay complementary sequences
• On the existence of periodic complementary binary sequences
• Equivalence classes and representatives of Golay sequences
• On equivalence of negaperiodic Golay pairs
• Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms
• Compression of periodic complementary sequences and applications
• Some new periodic Golay pairs
• Periodic Golay Pairs of Length 72