Title :
Improved geometric Goppa codes
Author :
Feng, G.L. ; Rao, T.R.N. ; Welch, L.R.
Author_Institution :
Center for Adv. Comput. Studies, Southwestern Louisiana Univ., Lafayette, LA, USA
fDate :
27 Jun-1 Jul 1994
Abstract :
Summary form only given. A new class of geometric Goppa codes are discussed. We show that the improved geometric Goppa codes are more efficient than the current geometric Goppa codes, for many cases. We also show several improved geometric Goppa codes from algebraic curves in high-dimensional spaces, hyperplanes in affine spaces and projective spaces, surfaces in affine spaces, and some varieties generated by algebraic curves. As special cases, the multi-level codes derived by Wu and Costello (see IEEE Trans. Information Theory, vol.IT-38, p.933, 1992), the hyperbolic cascaded Reed-Solomon codes derived by Saints and Heegard (see Lecture Notes in Computer Science 673, p.291, 1993), Chen (1986) codes, and their generalizations can be easily derived
Keywords :
Goppa codes; Reed-Solomon codes; geometric codes; affine spaces; algebraic curves; geometric Goppa codes; high-dimensional spaces; hyperbolic cascaded Reed-Solomon codes; hyperplanes; multi-level codes; projective spaces; Computer aided instruction; Computer science; Decoding; Hafnium; Information theory; Linear code; Reed-Solomon codes; USA Councils; Vectors; Voting;
Conference_Titel :
Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
Conference_Location :
Trondheim
Print_ISBN :
0-7803-2015-8
DOI :
10.1109/ISIT.1994.394823
