THE ORPHAN STRUCTURE OF BCH(3, m) CODE

  • HWANG, GEUM-SUG (Division of Information and Management Science, College of Information and Science, Pusan University of Foreign Studies)
  • Published : 2002.06.30

Abstract

If C is a code, an orphan is a coset without any parent. We investigate the structure of orphans of the code BCH(3, m). All weight 5 cosets and all weight 3 reduced cosets are orphans, and all weight 1,2 and 4 are not orphans. We conjecture that all weight 3 unreduced cosets are not orphans. We prove this conjecture for m = 4, 5.

Acknowledgement

Supported by : PUFS