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Wednesday 30 November 2022   Today  
Events for day: Thursday 17 November 2022    
           11:00 - 13:00     Commutative Algebra Webinars
On Self$-$dual Skew Cyclic Codes of Length $p^s$ over $mathbb{F}_{p^{m}}+umathbb{F}_{p^{m}} $

School
MATHEMATICS

The ring F_{p^m} + uF_{p^m} is a finite chain ring of nilpotency index 2, characteristic p and the unique maximal ideal uF_{p^m}. Dinh et al. (Discrete Mathematics 341 (2018) 324-335) obtained all self-dual constacyclic codes of length p^s over R_2 = F_{p^m} + uF_{p^m}, where p is a prime number and u^2 = 0. In this work, we determine the structure of (Euclidean) dual of some special skew cyclic codes of length p^s over R_2, and establish all of them which are self-dual.

As a special case, we conclude all of results appeared in the above paper for cyclic codes.



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