Describing A Cyclic Code by Another Cyclic Code

Alexander Zeh 1, 2 Sergey Bezzateev 3
1 GRACE - Geometry, arithmetic, algorithms, codes and encryption
Inria Saclay - Ile de France
2 INT - University of Ulm. - Institute of Communications Engineering [Ulm]
3 SUAI - Saint-Petersburg State University of Aerospace Instrumentation
Abstract : A new approach to bound the minimum distance of $q$-ary cyclic codes is presented. The connection to the BCH and the Hartmann--Tzeng bound is formulated and it is shown that for several cases an improvement is achieved. We associate a second cyclic code to the original one and bound its minimum distance in terms of parameters of the associated code.
Keywords : Hartmann--Tzeng Bound BCH Bound Cyclic Code
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Communication dans un congrès
Guiseppe Caire and Michelle Effros and Hans-Andrea Loeliger and Alexander Vardy. IEEE International Symposium on Information Theory (ISIT), Jul 2012, Boston, United States. IEEE, pp.2896-2900, 2012, 〈10.1109/ISIT.2012.6284054〉
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Dernière modification le : dimanche 25 février 2018 - 17:16:01
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Alexander Zeh, Sergey Bezzateev. Describing A Cyclic Code by Another Cyclic Code. Guiseppe Caire and Michelle Effros and Hans-Andrea Loeliger and Alexander Vardy. IEEE International Symposium on Information Theory (ISIT), Jul 2012, Boston, United States. IEEE, pp.2896-2900, 2012, 〈10.1109/ISIT.2012.6284054〉. 〈hal-00689746v4〉

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