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Generation of matrices for determining minimum distance and decoding of algebraic-geometric codes

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2 Author(s)
Ba-Zhong Shen ; Dept. of Electr. Eng. & Comput. Sci., Lehigh Univ., Bethlehem, PA, USA ; K. K. Tzeng

Newton's identities have played a significant role in decoding and minimum distance determination of cyclic and BCH codes. The present paper carries the notion over from cyclic codes to algebraic-geometric (AG) codes and introduces Newton's identities for AG codes, also for the purpose of minimum distance determination and decoding

Published in:

IEEE Transactions on Information Theory  (Volume:41 ,  Issue: 6 )