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In this paper, we construct quasi-cyclic Goppa (or related) codes. Some of these codes reach the parameters of best known codes. Generally, there is no known quasi-cyclic code for these lengths and dimensions.
S.V. Bezzateev, N.A. Shekhunova
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1-Generator Quasi-Cyclic Codes
Journal of Systems Science and Complexity, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pei, Junying, Zhang, Xuejun
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Binary Quasi-Cyclic Goppa Codes
Designs, Codes and Cryptography, 2000A class of quasi-cycic Goppa codes containing irreducibles codes, and partially split ones, is defined. A necessary and sufficient condition for a Goppa code to be quasi-cyclic is given. One more sufficient condition is derived on the defining polynomial of the Goppa code.
Bommier, Grégoire, Blanchet, Francis
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