On a test for codes.
Falucskai, J. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Falucskai, J. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Östergård, Patric R.J., Weakley, William D. (2002)
Beiträge zur Algebra und Geometrie
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Solov'eva, F.I., Tokareva, N.N. (2007)
Sibirskij Matematicheskij Zhurnal
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Kramer, Joshua Brown (2010)
The Electronic Journal of Combinatorics [electronic only]
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Quistorff, Jörn (2001)
Beiträge zur Algebra und Geometrie
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Yuichi Kamiya, Leo Murata (2012)
Journal de Théorie des Nombres de Bordeaux
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In the study of the -adic sum of digits function , the arithmetical function and for plays a very important role. In this paper, we firstly generalize the relation between and to a bijective relation between arithmetical functions. And as an application, we investigate some aspects of the sum of digits functions induced by binary infinite Gray codes . We can show that the difference of the sum of digits function, , is realized by an automaton. And the summation formula...
Borissov, Yuri, Manev, Nickolai (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 94B05, 94B15. Cyclic binary codes C of block length n = 2^m − 1 and generator polynomial g(x) = m1(x)m2^s+1(x), (s, m) = 1, are considered. The cardinalities of the sets of minimal codewords of weights 10 and 11 in codes C and of weight 12 in their extended codes ^C are determined. The weight distributions of minimal codewords in the binary Reed-Muller codes RM (3, 6) and RM (3, 7) are determined. The applied method enables codes...
Lomadze, N. (1998)
Georgian Mathematical Journal
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C. Rodriguez-Leon, L. Garcia-Forte (2011)
Computer Science and Information Systems
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