New existence and nonexistence results for strong external difference families

DOI10.1016/J.DISC.2017.10.032zbMath1384.05052arXiv1612.08385OpenAlexW2563260604MaRDI QIDQ1744768

Jingjun Bao, Lijun Ji, Yong Zhang, Rui Zhong Wei

Publication date: 19 April 2018

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

Full work available at URL: https://arxiv.org/abs/1612.08385

zbMATH Keywords

character theorycyclotomic numberalgebraic manipulation detection codestrong external difference family

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (11)

Construction and nonexistence of strong external difference families ⋮ Existence and non-existence results for strong external difference families ⋮ Weighted external difference families and R-optimal AMD codes ⋮ Nonexistence of strong external difference families in abelian groups of order being product of at most three primes ⋮ Cyclotomic construction of strong external difference families in finite fields ⋮ Algebraic manipulation detection codes via highly nonlinear functions ⋮ Strong external difference families in abelian and non-abelian groups ⋮ Some results on generalized strong external difference families ⋮ Some nonexistence results for \((v,m,k,pq)\)-strong external difference families ⋮ On optimal weak algebraic manipulation detection codes and weighted external difference families ⋮ Internal and external partial difference families and cyclotomy

Cites Work

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• Algebraic manipulation detection codes
• The cyclotomic numbers of order twelve
• Optimal Algebraic Manipulation Detection Codes in the Constant-Error Model
• Some Nonexistence Results for Strong External Difference Families Using Character Theory
• Detection of Algebraic Manipulation with Applications to Robust Secret Sharing and Fuzzy Extractors

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