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Nonassociative algebras: some applications. - MaRDI portal

Nonassociative algebras: some applications. (Q1884038)

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scientific article; zbMATH DE number 2109601
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Nonassociative algebras: some applications.
scientific article; zbMATH DE number 2109601

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    Nonassociative algebras: some applications. (English)
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    25 October 2004
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    The paper under review is a survey which presents results by different authors in order to describe two applications of non-associative algebras, an application to group theory in the line of the Restricted Burnside Problem and an application to Coding theory and Cryptography. In the first case, a group problem is translated into non-associative algebra terms, solved in this context and translated back into group terms. In the second case, it is shown that non-associative structures provide the construction of new error correcting codes with good properties by using non-associative algebras instead of classical finite fields and the generation of linear recursive sequences.
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    nonassociative algebras
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    Lie structures associated with groups
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    codes
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    cryptography
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