On Weierstrass semigroups and the redundancy of improved geometric Goppa codes

G.R. Pellikaan; F. Torres

doi:10.1109/18.796393

On Weierstrass semigroups and the redundancy of improved geometric Goppa codes

G.R. Pellikaan, F. Torres

Research output: Contribution to journal › Article › Academic › peer-review

16 Citations (Scopus)

Abstract

Improved geometric Goppa codes have a smaller redundancy and the same bound on the minimum distance as ordinary algebraic-geometry codes. For an asymptotically good sequence of function fields we give a formula for the redundancy.

Original language	English
Pages (from-to)	2512-2519
Journal	IEEE Transactions on Information Theory
Volume	45
Issue number	7
DOIs	https://doi.org/10.1109/18.796393
Publication status	Published - 1999

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abstract = "Improved geometric Goppa codes have a smaller redundancy and the same bound on the minimum distance as ordinary algebraic-geometry codes. For an asymptotically good sequence of function fields we give a formula for the redundancy.",

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JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

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On Weierstrass semigroups and the redundancy of improved geometric Goppa codes

Abstract

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