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

作者：Paterson Maura B; Stinson Douglas R^*

来源：Cryptography and Communications, 2013, 5(4): 229-240.

DOI：10.1007/s12095-013-0082-1

• Threshold scheme
• Ramp scheme
• Code
• Dual distance

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.

• 出版日期2013-12