Sets of even type in PG(3,4), alias the binary (85,24) projective geometry code

DOI10.1016/0097-3165(80)90051-5zbMath0438.05021OpenAlexW2065264478MaRDI QIDQ1141655

J. W. P. Hirschfeld, Xavier L. Hubaut

Publication date: 1980

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(80)90051-5

zbMATH Keywords

projective spaceprojective geometrybinary codesingular sets

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items (10)

Note on the ascent of incidence class of projective sets ⋮ A characterization of the sets of internal and external points of a conic ⋮ Classification of the odd sets in \(\mathrm{PG}(4,4)\) and its application to coding theory ⋮ A Note on Small Weight Codewords of Projective Geometric Codes and on the Smallest Sets of Even Type ⋮ The pseudo-hyperplanes and homogeneous pseudo-embeddings of \(\mathrm{AG}(n, 4)\) and \(\mathrm{PG}(n, 4)\) ⋮ On sets with few intersection numbers in finite projective and affine spaces ⋮ On sets of odd type of \(\mathrm{PG}(n,4)\) and the universal embedding of the dual polar space \(\mathrm{DH}(2n-1,4)\) ⋮ Pseudo-embeddings of the (point, \(k\)-spaces)-geometry of \(\mathrm{PG}(n,2)\) and projective embeddings of \(\mathrm{DW}(2n-1,2)\) ⋮ The dimension of projective geometry codes ⋮ A new characterization of projections of quadrics in finite projective spaces of even characteristic

Cites Work

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• Weight congruence for p-ary cyclic codes
• Sets of Type (1, n, q + 1) in PG(d, q)
• On a class of majority-logic decodable cyclic codes

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