Abstract
In this work, we study the structure of skew constacyclic codes over the ring R = F 4[v]/〈v 2 − v〉 which is a non chain ring with 16 elements where F 4 denotes the field with 4 elements and v an indeterminate. We relate linear codes over R to codes over F 4 by defining a Gray map between R and \(F_{4}^{2}.\) Next, the structure of all skew constacyclic codes is completely determined. Furthermore, we construct DNA codes over R.
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Bayram, A., Oztas, E.S., Siap, I. (2014). Codes over a Non Chain Ring with Some Applications. In: Hong, H., Yap, C. (eds) Mathematical Software – ICMS 2014. ICMS 2014. Lecture Notes in Computer Science, vol 8592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44199-2_18
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DOI: https://doi.org/10.1007/978-3-662-44199-2_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-44198-5
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