DCm Codes for Constructing t-EC/AUED Codes

  • Authors:
  • Ching-Nung Yang;Chi-Sung Laih

  • Affiliations:
  • National Cheng Kung Univ., Taiwan, China;National Cheng Kung Univ., Taiwan, China

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1998

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Abstract

A common method for constructing t-error correcting/all unidirectional error detecting (t-EC/AUED) codes is to append a tail to t-EC code, where the tail is a function of the weight of the codeword. Here, we present a method to reduce the weight distribution of t-EC codes by using a DCm(k + d, k) code as the input of t-EC code where a DCm(k + d, k) code is of length k + d and 2k codewords with the weight distribution between $\lceil (k + d - m)/2 \rceil$ and $\lceil (k + d + m)/2 \rceil.$ It is shown that our t-EC/AUED codes have the better information rates than the previously developed codes due to the smaller tails.