충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제25권3호
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  • Pages.455-462
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  • 2012
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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RELATION BETWEEN THE FLOOR BOUND AND THE ORDER BOUND

  • 발행 : 2012.08.15
⟨ 이전 논문 다음 논문 ⟩

초록

The purpose of this paper is to show that the coset bound can be used to prove the floor bound. Our proof provides a natural relation between the floor bound and the order bound.

키워드

참고문헌

  1. P. Beelen, The order bound for general algebraic geometric codes, Finite Fields Appl. 13 (2007), 665-680. https://doi.org/10.1016/j.ffa.2006.09.006
  2. I. M. Duursma, R. Kirov, and S. Park.Distance bounds for algebraic geometric codes, J. Pure Appl. Algebra. 215 (2011), 1863-1878. https://doi.org/10.1016/j.jpaa.2010.10.018
  3. I. M. Duursma and S. Park, Coset bounds for algebraic geometric codes, Finite Fields Appl. 16 (2010), 36-55. https://doi.org/10.1016/j.ffa.2009.11.006
  4. B. Lundell and J. McCullough, A generalized floor bound for the minimum distance of geometric Goppa codes, J. Pure Appl. Algebra. 207 (2006), 155-164. https://doi.org/10.1016/j.jpaa.2005.09.016