Constructions of external difference families and disjoint difference families

DOI10.1007/s10623-006-0005-7zbMath1182.05011OpenAlexW2007157897MaRDI QIDQ851745

Cunsheng Ding, Yan Xun Chang

Publication date: 22 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10623-006-0005-7

zbMATH Keywords

Difference setsDifference systems of setsDisjoint difference familiesExternal difference families

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Cryptography (94A60)

Related Items (26)

Construction and nonexistence of strong external difference families ⋮ Resolvable generalized difference matrices: existence and applications ⋮ Three classes of partitioned difference families and their optimal constant composition codes ⋮ A note on difference families from cyclotomy ⋮ Disjoint difference families from Galois rings ⋮ Near-complete external difference families ⋮ Difference systems of sets based on cosets partitions ⋮ Existence and non-existence results for strong external difference families ⋮ External Difference Families from Finite Fields ⋮ Grid-block difference families and related combinatorial structures ⋮ The preimage distributions of a class of zero-difference balanced functions and their partitioned difference families ⋮ Some new constructions of difference systems of sets ⋮ Partitioned difference families and almost difference sets ⋮ Optimal difference systems of sets and partition-type cyclic difference packings ⋮ Nonexistence of strong external difference families in abelian groups of order being product of at most three primes ⋮ Constructions of partitioned difference families ⋮ Generic constructions for partitioned difference families with applications: a unified combinatorial approach ⋮ The existence of \((v,4,1)\) disjoint difference families with \(v\) a prime power ⋮ Cyclotomic constructions of external difference families and disjoint difference families ⋮ Constructions of optimal difference systems of sets ⋮ Some series of optimal multilength OOCs of weight four ⋮ Partial Geometric Difference Families ⋮ Combinatorial characterizations of algebraic manipulation detection codes involving generalized difference families ⋮ Zero-difference balanced functions with applications ⋮ Perfect difference systems of sets and Jacobi sums ⋮ Internal and external partial difference families and cyclotomy

Cites Work

• Unnamed Item
• Block disjoint difference families for Steiner triple systems: \(v\equiv 3 \mod 6\)
• Complete sets of disjoint difference families and their applications
• Recursive constructions for cyclic block designs
• Logarithm Cartesian authentication codes.
• New combinatorial designs and their applications to authentication codes and secret sharing schemes.
• Some combinatorial constructions for optical orthogonal codes
• Cyclotomy and difference families in elementary Abelian groups
• Optimal (4up, 5, 1) optical orthogonal codes
• Combinatorial problems motivated by comma‐free codes

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