Nonassociative algebras: some applications. (Q1884038)
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scientific article; zbMATH DE number 2109601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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