Results 181 to 190 of about 672 (207)
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IEEE Transactions on Information Theory, 1967
A subclass of cyclic codes of composite block length n=n' \cdot n" , with n' and n" relatively prime, is studied. It is shown how, under certain conditions, these codes may be factorized into subcodes of block length n' and n" and how they are related to codes of block length n' or n" , over extension fields of the base field.
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A subclass of cyclic codes of composite block length n=n' \cdot n" , with n' and n" relatively prime, is studied. It is shown how, under certain conditions, these codes may be factorized into subcodes of block length n' and n" and how they are related to codes of block length n' or n" , over extension fields of the base field.
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44th Annual IEEE Symposium on Foundations of Computer Science, 2003. Proceedings., 2004
Cyclic linear codes of block length n over a finite field F/sub q/ are linear subspaces of F/sub q//sup n/ that are invariant under a cyclic shift of their coordinates. A family of codes is good if all the codes in the family have constant rate and constant normalized distance (distance divided by block length).
László Babai +2 more
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Cyclic linear codes of block length n over a finite field F/sub q/ are linear subspaces of F/sub q//sup n/ that are invariant under a cyclic shift of their coordinates. A family of codes is good if all the codes in the family have constant rate and constant normalized distance (distance divided by block length).
László Babai +2 more
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The genetic code and cyclic codes.
Comptes rendus de l'Academie des sciences. Serie III, Sciences de la vie, 1983We proposed previously a cyclic code made of 22 triplets, which we now call the AB code. It is made up of the following chain: AUGGUGCCAUUCAAGACUAUGA. The letters A, U, C, G represent the classical symbols of the (purine and pyrimidine) bases of the genetic code.
J, Demongeot, J, Besson
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Discrete Mathematics
BCH codes are a subclass of cyclic codes with many interesting properties. Over the last sixty years, a lot of progress has been made in the study of BCH codes. This survey paper presents the state-of-the-art of BCH cyclic codes and their applications.
Ding, Cunsheng, Li, Chengju
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BCH codes are a subclass of cyclic codes with many interesting properties. Over the last sixty years, a lot of progress has been made in the study of BCH codes. This survey paper presents the state-of-the-art of BCH cyclic codes and their applications.
Ding, Cunsheng, Li, Chengju
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1971
We now introduce a set of multiple-error correcting codes which were discovered by R. C. Bose and D. K. Ray-Chaudhuri and independently by A. Hocquenghem and which are now known as BCH-codes.
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We now introduce a set of multiple-error correcting codes which were discovered by R. C. Bose and D. K. Ray-Chaudhuri and independently by A. Hocquenghem and which are now known as BCH-codes.
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2000
We investigate the question when a cyclic code is maximum distance separable (MDS). For codes of (co-)dimension 3, this question is related to permutation properties of the polynomial (x b -1)/(x-1) for a certain b. Using results on these polynomials we prove that over fields of odd characteristic the only MDS cyclic codes of dimension 3 are the Reed ...
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We investigate the question when a cyclic code is maximum distance separable (MDS). For codes of (co-)dimension 3, this question is related to permutation properties of the polynomial (x b -1)/(x-1) for a certain b. Using results on these polynomials we prove that over fields of odd characteristic the only MDS cyclic codes of dimension 3 are the Reed ...
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Skew cyclic codes of arbitrary length
International Journal of Information and Coding Theory, 2011Padmapani Seneviratne +2 more
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LCD Cyclic Codes Over Finite Fields
IEEE Transactions on Information Theory, 2017Ding Cunsheng, Chengju Li, Shuxing Li
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Three-weight cyclic codes and their weight distributions
Discrete Mathematics, 2016Ding Cunsheng +2 more
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