DocumentCode :
314055
Title :
A systolic array architecture for implementing a fast parallel decoding algorithm of one-point AG codes
Author :
Sakata, Shojiro ; Kurihara, Masazumi
Author_Institution :
Dept. of Comput. Sci. & Inf. Math., Univ. of Electro-Commun., Tokyo, Japan
fYear :
1997
fDate :
29 Jun-4 Jul 1997
Firstpage :
378
Abstract :
Previously we proposed a fast parallel decoding algorithm for general one-point algebraic geometric (AG) codes with a systolic array architecture. But, designing the detailed structure of the systolic array and scheduling the relevant procedures remained to be given explicitly, because the proper discontinuities (i.e., gaps) accompanied with a pole-order (nongap) sequence make the problem very complicated. Based on a version of the fast decoding algorithm expressed in terms of matrices with univariate polynomials as entities, we present a method of complete scheduling on a revised architecture of systolic array for implementing this algorithm in parallel. For the size m of input data, i.e. the syndrome, and the first nongap ρ, the time complexity is O(m) and the space complexity is O(ρ2 m), where the time complexity O(ρm2) was required by the serial algorithm
Keywords :
algebraic geometric codes; computational complexity; decoding; digital signal processing chips; parallel algorithms; polynomial matrices; systolic arrays; discontinuities; fast parallel decoding algorithm; input data size; matrices; nongap; one-point algebraic geometric codes; pole-order sequence; scheduling; serial algorithm; space complexity; syndrome; systolic array; systolic array architecture; time complexity; univariate polynomials; Computer architecture; Computer science; Decoding; Design methodology; Mathematics; Polynomials; Processor scheduling; Proposals; Scheduling algorithm; Systolic arrays;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
Type :
conf
DOI :
10.1109/ISIT.1997.613315
Filename :
613315
Link To Document :
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