Title :
A generalization of algebraic-geometry codes
Author :
Xing, Chaoping ; Niederreiter, Harald ; Lam, Kwok Yan
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Singapore
fDate :
11/1/1999 12:00:00 AM
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
Keywords :
Goppa codes; algebraic geometric codes; concatenated codes; linear codes; Goppa codes; concatenated codes; finite fields; function fields; generalized algebraic-geometry codes; inner code; outer code; q-ary linear codes; small degree places; Computer errors; Error correction; Error correction codes; Interference; Linear code; Mathematics; Quantum computing; Quantum entanglement; Quantum mechanics; Rain;
Journal_Title :
Information Theory, IEEE Transactions on
