Weighted external difference families and R-optimal AMD codes

DOI10.1016/J.DISC.2018.11.009zbMath1408.94981arXiv1805.01330OpenAlexW2963498059WikidataQ128765810 ScholiaQ128765810MaRDI QIDQ1712534

Maura B. Paterson, Sophie Huczynska

Publication date: 22 January 2019

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

Full work available at URL: https://arxiv.org/abs/1805.01330

zbMATH Keywords

weighted external difference familybimodal propertyR-optimal AMD code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (6)

Nonexistence of strong external difference families in abelian groups of order being product of at most three primes ⋮ Characterising bimodal collections of sets in finite groups ⋮ Algebraic manipulation detection codes via highly nonlinear functions ⋮ Strong external difference families in abelian and non-abelian groups ⋮ On optimal weak algebraic manipulation detection codes and weighted external difference families ⋮ Internal and external partial difference families and cyclotomy

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• Optimal Algebraic Manipulation Detection Codes in the Constant-Error Model
• Some Nonexistence Results for Strong External Difference Families Using Character Theory
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