Codes Derived from Binary Goppa Codes

Codes Derived from Binary Goppa Codes We present a new family of binary codes derived from the family of classical Goppa codes. We generalize properties of Goppa codes to this family, including bounds on the dimension and minimum distance and construction of a polynomial-time algorithm of decoding up to the designed distance. Asymptotically, these codes have the same parameters as Goppa codes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Codes Derived from Binary Goppa Codes

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2001 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/A:1010406807141
Publisher site
See Article on Publisher Site

Abstract

We present a new family of binary codes derived from the family of classical Goppa codes. We generalize properties of Goppa codes to this family, including bounds on the dimension and minimum distance and construction of a polynomial-time algorithm of decoding up to the designed distance. Asymptotically, these codes have the same parameters as Goppa codes.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 7, 2004

References

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