Perfect codes and balanced generalized weighing matrices

DOI10.1006/ffta.1999.0252zbMath1033.94014OpenAlexW4210285910MaRDI QIDQ1964067

Dieter Jungnickel, Vladimir D. Tonchev

Publication date: 1999

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1999.0252

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes (general theory) (94B05) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Combinatorial aspects of finite geometries (05B25)

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A technique for constructing non‐embeddable quasi‐residual designs ⋮ Hyperplane partitions and difference systems of sets ⋮ On a new class of productive regular Hadamard matrices ⋮ Bush-type Hadamard matrices and symmetric designs ⋮ All triples for orthogonal designs of order 40 ⋮ The existence of a Bush-type Hadamard matrix of order 36 and two new infinite classes of symmetric designs ⋮ Generalized weighing matrices and self-orthogonal codes ⋮ Partitions of difference sets and code synchronization ⋮ A block negacyclic Bush-type Hadamard matrix and two strongly regular graphs ⋮ Doubly regular digraphs and symmetric designs ⋮ Perfect codes and balanced generalized weighing matrices. II

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