A generalization of algebraic-geometry codes

Authors:
Chaoping Xing;H. Niederreiter;Kwok Yan Lam
Affiliations:
Dept. of Math., Nat. Univ. of Singapore;-;-
Venue:
IEEE Transactions on Information Theory
Year:
1999

Citing 0
Cited 4

Asymptotically Good Codes from Generalized Algebraic-Geometry Codes

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Constructions and bounds on linear error-block codes

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Sudan-decoding generalized geometric Goppa codes

Finite Fields and Their Applications
Generalized AG codes and generalized duality

Finite Fields and Their Applications

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Abstract

A generalization of algebraic-geometry codes based on function fields over finite fields with many places of small degree is presented. It turns out that many good linear codes can be obtained from these generalized algebraic-geometry codes. In particular, we calculate some examples of q-ary linear codes for q=2,3, 5. These examples show that many best possible linear codes can be found from our construction