Combinatorial polarization, code loops, and codes of high level.
Vojtěchovský, Petr (2004)
International Journal of Mathematics and Mathematical Sciences
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Vojtěchovský, Petr (2004)
International Journal of Mathematics and Mathematical Sciences
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Alderson, T.L., Bruen, A.A. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Landjev, Ivan, Haralambiev, Kristiyan (2007)
Serdica Journal of Computing
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In 1965 Levenshtein introduced the deletion correcting codes and found an asymptotically optimal family of 1-deletion correcting codes. During the years there has been a little or no research on t-deletion correcting codes for larger values of t. In this paper, we consider the problem of finding the maximal cardinality L2(n;t) of a binary t-deletion correcting code of length n. We construct an infinite family of binary t-deletion correcting codes. By computer search, we construct t-deletion...
Ward, Harold (2001)
Serdica Mathematical Journal
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This paper surveys parts of the study of divisibility properties of codes. The survey begins with the motivating background involving polynomials over finite fields. Then it presents recent results on bounds and applications to optimal codes.
Clelia De Felice (2006)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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It is known that the class of factorizing codes, i.e., codes satisfying the factorization conjecture formulated by Schützenberger, is closed under two operations: the classical composition of codes and substitution of codes. A natural question which arises is whether a finite set of operations exists such that each factorizing code can be obtained by using the operations in and starting with prefix or suffix codes. is named here a complete set of operations (for factorizing codes)....
Dontcheva, Radinka (2001)
Serdica Mathematical Journal
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∗ This work was supported in part by the Bulgarian NSF under Grant MM-901/99 In this paper we prove that up to equivalence there exist 158 binary [70, 35, 12] self-dual and 119 binary [72, 36, 12] self-dual doubly-even codes all of which have an automorphism of order 23 and we present their construction. All these codes are new.
Östergård, Patric R.J., Svanström, Mattias (2002)
The Electronic Journal of Combinatorics [electronic only]
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