A four-dimensional Kerdock set over GF(3)

DOI10.1016/0097-3165(76)90031-5zbMath0343.15005OpenAlexW2004883115MaRDI QIDQ1232557

N. J. Patterson

Publication date: 1976

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(76)90031-5

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Quadratic and bilinear forms, inner products (15A63) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (14)

Ovoids of the quadric Q\((2n,q)\) ⋮ On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces ⋮ Symplectic spreads in \(PG(3,q)\), inversive planes and projective planes ⋮ Point derivation of partial geometries. ⋮ On endomorphisms of alternating forms graph ⋮ A new semipartial geometry ⋮ On the smallest minimal blocking sets of \(Q(2n,q)\), for \(q\) an odd prime ⋮ Strongly regular graphs defined by spreads ⋮ A classification of transitive ovoids, spreads, and m-systems of polar spaces ⋮ Bilinear forms over a finite field, with applications to coding theory ⋮ Nonexistence of ovoids in \(\Omega^+(10,3)\) ⋮ Partial geometries and the triality quadric ⋮ Ovoids and spreads of the generalized hexagon \(\mathbf H(3)\) ⋮ Spreads, Translation Planes and Kerdock Sets. I

Cites Work

• Alternating bilinear forms over GF(q)
• A class of low-rate nonlinear binary codes

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