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Journal of Cybernetics, 1976
In this paper the phasing aspects are considered in terms of cyclic blocks so that a code word is composed of several blocks, each block having a cyclic structure. The theory is analogically developed as in the classical case.
Sharma, B. D., Kaur, Bhupinder
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In this paper the phasing aspects are considered in terms of cyclic blocks so that a code word is composed of several blocks, each block having a cyclic structure. The theory is analogically developed as in the classical case.
Sharma, B. D., Kaur, Bhupinder
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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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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).
L. Babai, A. Shpilka, D. Stefankovic
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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).
L. Babai, A. Shpilka, D. Stefankovic
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Bell System Technical Journal, 1966
Summary: Codes exist which are capable of correcting large numbers of random errors. Such codes are rarely used in practical data transmission systems, however, because the equipment necessary to realize their capabilities -- that is, to actually correct the errors -- is usually prohibitively complex and expensive.
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Summary: Codes exist which are capable of correcting large numbers of random errors. Such codes are rarely used in practical data transmission systems, however, because the equipment necessary to realize their capabilities -- that is, to actually correct the errors -- is usually prohibitively complex and expensive.
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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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