Rectangular, range, and restricted AONTs: three generalizations of all-or-nothing transforms

DOI10.3934/amc.2021068zbMath1527.94037arXiv2111.05961OpenAlexW4220934295MaRDI QIDQ6067843

Douglas R. Stinson, Navid Nasr Esfahani

Publication date: 14 December 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.05961

zbMATH Keywords

orthogonal arraydistributed storageall-or-nothing

Mathematics Subject Classification ID

Cryptography (94A60) Orthogonal arrays, Latin squares, Room squares (05B15)

Cites Work

• All or nothing at all
• Split orthogonal arrays and maximum independent resilient systems of functions
• On security properties of all-or-nothing transforms
• Linear \((2, p, p)\)-AONTs exist for all primes \(p\)
• Invertible binary matrices with maximum number of \(2\)-by-\(2\) invertible submatrices
• Partial λ-Geometries and Generalized Hadamard Matrices Over Groups
• Combinatorial Designs
• Some results on the existence of t-all-or-nothing transforms over arbitrary alphabets
• All-or-nothing encryption and the package transform
• Something about all or nothing (transforms)
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