Abstract
We show that, under mild conditions of separability, an ideal code, as defined in Lopez-Permouth and Szabo (J Pure Appl Algebra 217(5):958–972, 2013), is a direct summand of an Ore extension and, consequently, it is generated by an idempotent element. We also design an algorithm for computing one of these idempotents.
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Acknowledgements
Research partially supported by grant MTM2010-20940-C02-01 from the Ministerio de Ciencia e Innovacin of the Spanish Government and FEDER, and by grant mP-TIC-14 (2014) from CEI-BioTic Granada.
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Gómez-Torrecillas, J., Lobillo, F.J., Navarro, G. (2015). Cyclic Convolutional Codes over Separable Extensions. In: Pinto, R., Rocha Malonek, P., Vettori, P. (eds) Coding Theory and Applications. CIM Series in Mathematical Sciences, vol 3. Springer, Cham. https://doi.org/10.1007/978-3-319-17296-5_22
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DOI: https://doi.org/10.1007/978-3-319-17296-5_22
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17295-8
Online ISBN: 978-3-319-17296-5
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