New binary codes from extended Goppa codes

Authors:
M. Tomlinson;M. Jibril;C. Tjhai;M. Grassl;M. Z. Ahmed
Affiliations:
Fixed and Mobile Communications Group, University of Plymouth, Plymouth, UK;Fixed and Mobile Communications Group, University of Plymouth, Plymouth, UK;Fixed and Mobile Communications Group, University of Plymouth, Plymouth, UK;Center for Quantum Technologies, National University of Singapore, Singapore, Singapore;Fixed and Mobile Communications Group, University of Plymouth, Plymouth, UK
Venue:
Designs, Codes and Cryptography
Year:
2014

Citing 2
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Further results on Goppa codes and their applications to constructing efficient binary codes

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Abstract

An efficient construction of extended length Goppa codes is presented. The construction yields four new binary codes [153, 71, 25], [151, 70, 25], [160, 70, 27], and [158, 69, 27]. The minimum distances are larger than those of the best previously known linear codes of the same length and dimension.