Additivity of affine designs

DOI10.1007/s10801-020-00941-8zbMath1467.05021OpenAlexW3034281207MaRDI QIDQ2038886

Andrea Caggegi, Giovanni Falcone, Marco Pavone

Publication date: 7 July 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-020-00941-8

zbMATH Keywords

Hadamard designsMathieu group \(M_{11}\)additive designsaffine block designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of finite geometries (05B25) Combinatorial geometries and geometric closure systems (51D20)

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Permutations of zero-sumsets in a finite vector space ⋮ A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs ⋮ Subset sums and block designs in a finite vector space ⋮ Steiner loops of affine type ⋮ On the subset sum problem for finite fields ⋮ Super-regular Steiner 2-designs ⋮ A new family of additive designs

Cites Work

• On the additivity of block designs
• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• Affine resolvable balanced incomplete block designs: a survey
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