Title :
Syndrome calculation for the decoding of algebraic-geometry codes on plane Garcia-Stichtenoth curves
Author :
Lu, Chung-Chin ; Yang, Chih-Yen ; Lee, Ti-Chung
Author_Institution :
Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan
Abstract :
In this paper, the basic function field of an asymptotically optimal tower of function fields by Garcia and Stichtenoth is studied, where bases of one-point linear systems can be explicitly constructed. A representation of finite GF(q2)-rational points on the associated plane curve is derived and exploited to develop a real-time hardware architecture for the calculation of syndromes needed in the decoding of AG codes built on this curve.
Keywords :
algebraic geometric codes; decoding; algebraic-geometry codes; asymptotically optimal tower; decoding; one-point linear systems; plane Garcia-Stichtenoth curves; real-time hardware architecture; syndrome calculation; Computer architecture; Decoding; Hardware; Linear systems; Poles and towers; Polynomials; Real time systems;
Conference_Titel :
Information Theory and its Applications (ISITA), 2010 International Symposium on
Conference_Location :
Taichung
Print_ISBN :
978-1-4244-6016-8
Electronic_ISBN :
978-1-4244-6017-5
DOI :
10.1109/ISITA.2010.5649521
