86 resultados para Automorphism


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In this paper we present a developed software in the area of Coding Theory. Using it, codes with given properties can be classified. A part of this software can be used also for investigations (isomorphisms, automorphism groups) of other discrete structures-combinatorial designs, Hadamard matrices, bipartite graphs etc.

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The paper has been presented at the International Conference Pioneers of Bulgarian Mathematics, Dedicated to Nikola Obreshkoff and Lubomir Tschakalo ff , Sofia, July, 2006.

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Partially supported by the Bulgarian Science Fund contract with TU Varna, No 487.

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∗ This work was supported in part by the Bulgarian NSF under Grant MM-901/99

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∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995.

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In this paper we present 35 new extremal binary self-dual doubly-even codes of length 88. Their inequivalence is established by invariants. Moreover, a construction of a binary self-dual [88, 44, 16] code, having an automorphism of order 21, is given.

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2000 Mathematics Subject Classification: 51E14, 51E30.

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2000 Mathematics Subject Classification: 14Q05, 14Q15, 14R20, 14D22.

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2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.

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2010 Mathematics Subject Classification: 14L99, 14R10, 20B27.

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Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2016.