A simple combinatorial treatment of constructions and threshold gaps of ramp schemes

被引:0
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作者
Maura B. Paterson
Douglas R. Stinson
机构
[1] University of London,Department of Economics, Mathematics and Statistics, Birkbeck
[2] University of Waterloo,David R. Cheriton School of Computer Science
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关键词
Threshold scheme; Ramp scheme; Code; Dual distance;
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摘要
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 minimum length of a code having a specified distance and dual distance.
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页码:229 / 240
页数:11
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