On the intersection of binary linear codes

Dajian Liao, Zihui Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

For a binary linear code, a new relation between the intersection and (2, 2)-separating property is addressed, and a relation between the intersection and the trellis complexity is also given. Using above relations, the authors will apply several classes of binary codes to secret sharing scheme and determine their trellis complexity and separating properties. The authors also present the properties of the intersection of certain kinds of two-weight binary codes. By using the concept of value function, the intersecting properties of general binary codes are described.

Original languageEnglish
Pages (from-to)814-824
Number of pages11
JournalJournal of Systems Science and Complexity
Volume29
Issue number3
DOIs
Publication statusPublished - 1 Jun 2016

Keywords

  • Minimal access structure
  • minimal codeword
  • separating property
  • trellis complexity
  • twoweight code
  • value function

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