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The fullrank value function

Published: 01 November 2016 Publication History

Abstract

Motivated by applications to the wiretap channel of type II with the coset coding scheme as well as secret sharing, the concept of the fullrank value function is introduced in this paper. Several constructing methods for fullrank value functions are presented by using the finite projective geometry. The relationship between fullrank value functions and secret sharing schemes, and the relationship between fullrank value functions and separation of linear codes are given as well. In particular, new (2,2)-separating codes are constructed by using our methods.

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Published In

cover image Designs, Codes and Cryptography
Designs, Codes and Cryptography  Volume 81, Issue 2
November 2016
206 pages

Publisher

Kluwer Academic Publishers

United States

Publication History

Published: 01 November 2016

Author Tags

  1. 94B05
  2. Feasible set
  3. Minimal codeword
  4. Separating property
  5. Support weight
  6. Value function

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