Construction of perfect q-ary codes by switchings of simple components

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作者
A. V. Los’
机构
[1] Novosibirsk State University,
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Information Transmission; Projective Geometry; Primitive Element; Coordinate Position; Simple Component;
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摘要
We suggest a construction of perfect q-ary codes by sequential switchings of special-type components (called simple components) of the Hamming code. We prove that such components are minimal. The construction yields a lower bound on the number of different q-ary codes; this is presently the best known bound. We show that this bound cannot be substantially improved using switchings of components of this type.
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页码:30 / 37
页数:7
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