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Title:
A Simple Combinatorial Treatment of Constructions and Threshold Gaps of Ramp Schemes
Authors: Maura B. Paterson, Douglas R. Stinson
Abstract:We give easy proofs of some recent results concerning threshold gaps in ramp schemes. We then generalise a construction method for ramp schemes employing error-correcting codes so that it can be applied using nonlinear (as well as linear) codes. Finally, as an immediate consequence of these results, we provide a new explicit bound on the the minimum length of a code having a specified distance and dual distance.
ePrint: https://eprint.iacr.org/2012/534
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