The minimum weights of two-point AG codes on norm-trace curves
- 주제(키워드) AG codes , Algebraic geometry codes , Minimum weights , Norm-trace curves , The order bound
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press Inc.
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000151979
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.ffa.2018.06.005
초록/요약
We construct two-point algebraic geometry codes (AG codes) on algebraic curves over a finite field. We find the order-like bound on the minimum weights of these codes on algebraic curves, and we prove that this order-like bound is better than the Goppa bound. On norm-trace curves over the finite fields of characteristic 2, we explicitly determine the order-like bounds for one-point AG codes and two-point AG codes. Consequently, it turns out that the order-like bound for two-point AG codes on norm-trace curves is better than that of one-point codes on the same curves except for a few cases. © 2018
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