Finding short and light codewords in BCH codes

  • Authors:
  • E. Hernquist;D. W. Newhart;R. A. Stong

  • Affiliations:
  • Electr. Eng. Dept., Johns Hopkins Univ., Laurel, MD;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

A new algorithm is presented for finding codewords that are of low weight (“light”) and low degree (“short”) in narrow-sense binary BCH codes of length n=2m-1 and minimum weight d=2t-1, for use in serial implementations. This improves on some earlier results by Roth and Scroussi (see ibid., vol.34, p.593-6, May 1998), and extends the range of parameters to include cases of interest for long CRC (cyclic redundancy codes) error-detection schemes