Orthogonal circulant matrices over finite fields, and how to find them

DOI10.1016/0097-3165(71)90062-8zbMath0219.15005OpenAlexW2157353759MaRDI QIDQ2546928

F. J. MacWilliams

Publication date: 1971

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(71)90062-8

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (16)

The enumeration of symmetric circulants of fixed rank over a finite field ⋮ A note on the distribution of self-dual normal bases generators of finite fields under trace map ⋮ Square classes of totally positive units ⋮ Algebraic theory of block codes detecting independent errors ⋮ Experimental constructions of self-dual codes ⋮ Unnamed Item ⋮ On self-dual double circulant codes ⋮ Counting and constructing orthogonal circulants ⋮ Self-dual codes over GF(4) ⋮ New quantum codes from evaluation and matrix-product codes ⋮ Selfdual normal bases on \(\mathrm{GF}(q)\) ⋮ Construction of self-dual normal bases and their complexity ⋮ Cyclotomic numbers, coding theory and orthogonal polynomials ⋮ A note on orthogonal circulant matrices over finite fields ⋮ Classification of extremal double-circulant self-dual codes of length up to \(62\) ⋮ Self-dual doubly circulant codes

Cites Work

• Distribution of cyclic matrices in a finite field
• A New Treatment of Bose-Chaudhuri Codes
• Unnamed Item

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