Title :
On the duality of algebraic geometric codes with high degree places
Author :
Kaida, Takayasu ; Imamura, Kyoki
Author_Institution :
Dept. of Inf. & Electron. Eng., Yatsushiro Nat. Coll. of Technol., Kumamoto, Japan
Abstract :
Definitions for function type and residue type of algebraic geometric (AG) codes with high degree places, which are generalized constructions of conventional AG codes, are given. We show that the function type AG code is the dual code of the residue type AG code constructed by same divisors
Keywords :
algebraic geometric codes; dual codes; KIM codes; algebraic geometric codes; dual code; function type AG code; high degree places code; residue type AG code; Computer science; Educational institutions; Galois fields; Linear code; Terminology;
Conference_Titel :
Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-7123-2
DOI :
10.1109/ISIT.2001.936172
