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|Title:||Algebraic geometry codes with complementary duals exceed the asymptotic Gilbert-Varshamov bound||Authors:||Jin, Lingfei
|Keywords:||Science::Mathematics||Issue Date:||2017||Source:||Jin, L., & Xing, C. (2018). Algebraic geometry codes with complementary duals exceed the asymptotic Gilbert-Varshamov bound. IEEE Transactions on Information Theory, 64(9), 6277-6282. doi:10.1109/TIT.2017.2773057||Journal:||IEEE Transactions on Information Theory||Abstract:||It was shown by Massey that linear complementary dual (LCD) codes are asymptotically good. In 2004, Sendrier proved that LCD codes meet the asymptotic Gilbert-Varshamov (GV) bound. Until now, the GV bound still remains to be the best asymptotical lower bound for LCD codes. In this paper, we show that an algebraic geometry code over a finite field of even characteristic is equivalent to an LCD code and consequently there exists a family of LCD codes that are equivalent to algebraic geometry codes and exceed the asymptotical GV bound.||URI:||https://hdl.handle.net/10356/140042||ISSN:||0018-9448||DOI:||10.1109/TIT.2017.2773057||Rights:||© 2017 IEEE. All rights reserved.||Fulltext Permission:||none||Fulltext Availability:||No Fulltext|
|Appears in Collections:||SPMS Journal Articles|
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