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Isodual codes over \(\mathbb {F}_{q}\) from a multiplier

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Abstract

Blackford (Finite Fields Appl. 24, 29–44 2013) introduced Type I constacyclic duadic codes over the finite field \(\mathbb {F}_{q}\), where q is an odd prime power, and obtained isodual codes from them. In this paper, we generalize this idea and present Type II q-splitting of some special natural numbers n over \(\mathbb {F}_{q}\). By using it, we construct isodual codes of length n + r over \(\mathbb {F}_{q}\) for some r, where r is some divisor of n and q − 1, and provide some examples of optimal isodual codes.

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Authors and Affiliations

  1. Department of Mathematics, Malayer University, Malayer, Iran

    Maryam Izadi & Rashid Rezaei

  2. Department of Mathematics, Bu Ali Sina University, Hamedan, Iran

    Arezoo Soufi Karbaski & Karim Samei

Authors
  1. Maryam Izadi
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  2. Arezoo Soufi Karbaski
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  3. Rashid Rezaei
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  4. Karim Samei
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Correspondence to Karim Samei.

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Izadi, M., Karbaski, A.S., Rezaei, R. et al. Isodual codes over \(\mathbb {F}_{q}\) from a multiplier. Cryptogr. Commun. 14, 973–982 (2022). https://doi.org/10.1007/s12095-022-00561-y

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  • DOI: https://doi.org/10.1007/s12095-022-00561-y

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