Bruck nets, codes, and characters of loops

DOI10.1007/BF00123956zbMath0755.05020MaRDI QIDQ1179515

G. Eric. Moorhouse

Publication date: 26 June 1992

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

zbMATH Keywords

projective planecyclic groupDesarguesian planecodesBruck netscharacters of loops

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Finite affine and projective planes (geometric aspects) (51E15) Other combinatorial number theory (11B75) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Related Items

On the \(p\)-ranks of net graphs, Some \(p\)-ranks related to orthogonal spaces, Uniqueness of strongly regular graphs having minimal \(p\)-rank, On Characterizing Designs by Their Codes, Codes from Hall planes of even order, Codes of Desarguesian projective planes of even order, projective triads and \((q+t,t)\)-arcs of type \((0, 2, t)\), Group divisible designs in MOLS of order ten, Classification of highly symmetrical translation loops of order \(2p\), \(p\) prime., Translation nets: A survey, Some applications of Magma in designs and codes: Oval designs, Hermitian unitals and generalized Reed-Muller codes, Information sets and partial permutation decoding for codes from finite geometries, Partial permutation decoding for codes from finite planes, \(s\)-PD-sets for codes from projective planes \(\mathrm{PG}(2,2^h)\), \(5\leq h\leq 9\), When is the commutant of a Bol loop a subloop?, Small weight codewords in the codes arising from Desarguesian projective planes, Bases of minimum-weight vectors for codes from designs, Nets and their codes, Links between Latin squares, nets, graphs and groups: Work inspired by a paper of A. Barlotti and K. Strambach, A coding theoretic solution to the 36 officer problem

Cites Work

• Maximal difference matrices of order \(\leq 10\)
• Four pairwise orthogonal Latin squares of order 24
• Finite nets. II: Uniqueness and imbedding
• ORTHOGONAL LATIN SQUARES
• Orthomorphisms of Groups and Orthogonal Latin Squares. I
• The Nonexistence of Certain Finite Projective Planes
• Finite Nets, I. Numerical Invariants
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item