External Difference Families from Finite Fields

DOI10.1002/jcd.21531zbMath1362.05019OpenAlexW2518317758MaRDI QIDQ5347397

Bocong Chen, San Ling, Liren Lin

Publication date: 23 May 2017

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21531

zbMATH Keywords

cyclotomic numberdisjoint difference familyexternal difference familyBunyakovsky's conjecture

Mathematics Subject Classification ID

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

Related Items (2)

A note on difference families from cyclotomy ⋮ Internal and external partial difference families and cyclotomy

Uses Software

• GAP

Cites Work

• Constructions of external difference families and disjoint difference families
• Difference systems of sets and cyclotomy
• New combinatorial designs and their applications to authentication codes and secret sharing schemes.
• Cyclotomy and difference families in elementary Abelian groups
• High-Rate Self-Synchronizing Codes
• Cyclotomic constructions of external difference families and disjoint difference families
• Existence of (q,k, 1) difference families withq a prime power andk = 4, 5
• Almost difference sets and their sequences with optimal autocorrelation
• Improving two theorems of bose on difference families
• Quadratic Irrationals
• ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS

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