Publication: Efficient Description of some Classes of Codes using Group Algebras
Efficient Description of some Classes of Codes using Group Algebras
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Chimal-Dzul, H., Gassner, N., Rosenthal, J., & Schnyder, R. (2022). Efficient Description of some Classes of Codes using Group Algebras. IFAC-PapersOnLine, 55, 7–12. https://doi.org/10.1016/j.ifacol.2022.11.020
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Circulant matrices are an important tool widely used in coding theory and cryptography. A circulant matrix is a square matrix whose rows are the cyclic shifts of the first row. Such a matrix can be efficiently stored in memory because it is fully specified by its first row. The ring of n x n circulant matrices can be identified with the quotient ring F[x]/(x(n) - 1). In consequence, the strong algebraic structure of the ring F[x]/(x(n) - 1) can be used to study properties of the collection of all n x n circulant matrices. The ring F[x
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- Chimal-Dzul, Henry
- Gassner, Niklas
- Schnyder, Reto
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Chimal-Dzul, H., Gassner, N., Rosenthal, J., & Schnyder, R. (2022). Efficient Description of some Classes of Codes using Group Algebras. IFAC-PapersOnLine, 55, 7–12. https://doi.org/10.1016/j.ifacol.2022.11.020
