Generic constructions for partitioned difference families with applications: a unified combinatorial approach

DOI10.1007/S10623-016-0182-YzbMath1355.05062OpenAlexW2281552948MaRDI QIDQ510413

Shuxing Li, Gennian Ge, Hengjia Wei

Publication date: 17 February 2017

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

Full work available at URL: https://doi.org/10.1007/s10623-016-0182-y

zbMATH Keywords

difference matricesconstant composition codespartitioned difference familiespartitioned relative difference familiesrecursive constructions

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Combinatorial codes (94B25)

Related Items (11)

Three classes of partitioned difference families and their optimal constant composition codes ⋮ Optimal FHSs and DSSs via near zero-difference balanced functions ⋮ Partitioned difference families and harmonious linear spaces ⋮ The preimage distributions of a class of zero-difference balanced functions and their partitioned difference families ⋮ Partitioned difference families: the storm has not yet passed ⋮ A generic method to construct zero-difference balanced functions ⋮ On disjoint \((v,k,k-1)\) difference families ⋮ Frame difference families and resolvable balanced incomplete block designs ⋮ Hadamard partitioned difference families and their descendants ⋮ A new construction of zero-difference balanced functions and two applications ⋮ Partitioned difference families versus zero-difference balanced functions

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