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COCOON
2005
Springer

Error-Set Codes and Related Objects

12 years 5 months ago
Error-Set Codes and Related Objects
By considering a new metric, Nikov and Nikova defined the class of error-set correcting codes. These codes differ from the errorcorrecting codes in the sense that the minimum distance of the code is replaced by a collection of monotone decreasing sets ∆ which define the supports of the vectors that do not belong to the code. In this paper we consider a subclass of these codes - so called, ideal codes - investigating their properties such as the relation with its dual and a formula for the weight enumerator. Next we show that the ∆-set of these codes corresponds to the independent sets of a matroid. Consequently, this completes the equivalence of ideal linear secret sharing schemes and matroids on one hand and linear secret sharing schemes and error-set correcting codes on the other hand.
An Braeken, Ventzislav Nikov, Svetla Nikova
Added 26 Jun 2010
Updated 26 Jun 2010
Type Conference
Year 2005
Where COCOON
Authors An Braeken, Ventzislav Nikov, Svetla Nikova
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