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Optimal Ramp Schemes and Related Combinatorial Objects
May 17, 2017 Β· Declared Dead Β· π IACR Cryptology ePrint Archive
"No code URL or promise found in abstract"
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Authors
Douglas R. Stinson
arXiv ID
1705.06247
Category
cs.CR: Cryptography & Security
Cross-listed
math.CO
Citations
0
Venue
IACR Cryptology ePrint Archive
Last Checked
4 months ago
Abstract
In 1996, Jackson and Martin proved that a strong ideal ramp scheme is equivalent to an orthogonal array. However, there was no good characterization of ideal ramp schemes that are not strong. Here we show the equivalence of ideal ramp schemes to a new variant of orthogonal arrays that we term augmented orthogonal arrays. We give some constructions for these new kinds of arrays, and, as a consequence, we also provide parameter situations where ideal ramp schemes exist but strong ideal ramp schemes do not exist.
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