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Improved geometric Goppa codes. I. Basic theory

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2 Author(s)
Gui-Liang Feng ; Center for Adv. Comput. Studies, Univ. of Southwestern Louisiana, Lafayette, LA, USA ; Rao, T.R.N.

In this paper, we present a construction of improved geometric Goppa codes which, for the case of r<2g, are often more efficient than the current geometric Goppa codes derived from some varieties, which include algebraic curves, hyperplanes, surfaces, and other varieties. For the special case of a plane in a three-dimensional projective space, the improved geometric Goppa codes are reduced to linear multilevel codes. For these improved geometric Goppa codes, a designed minimum distance can be easily determined and a decoding procedure which corrects up to half the designed minimum distance is also given

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