Rings and constructions of partial difference sets

DOI10.1016/S0012-365X(02)00832-4zbMath1022.05010MaRDI QIDQ1406553

Xiang-Dong Hou

Publication date: 4 September 2003

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Nakayama automorphismsGalois ringsbent functionslocal ringsfinite Frobenius ringschain ringsextensions of partial difference setsgenerating charactersreversible partial difference sets

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (6)

Packings of partial difference sets ⋮ A ring theoretic construction of Hadamard difference sets in \(\mathbb Z^n_8 \times \mathbb Z^n_2\) ⋮ A construction of finite Frobenius rings and its application to partial difference sets ⋮ Partial difference sets and amorphic group schemes from pseudo-quadratic bent functions ⋮ Lattice of ideals of the polynomial ring over a commutative chain ring ⋮ Paley type group schemes and planar Dembowski-Ostrom polynomials

Cites Work

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