Let p be an odd prime, and let m be a positive integer satisfying pm≡3(mod 4). Let Fpm be the finite field with pm elements, and let R=Fpm[u]/⟨u2⟩ be the finite commutative chain ring with unity. In this paper, we determine all constacyclic codes of length 4ps over R and their dual codes, where s is a positive integer. We also determine their sizes and list some isodual constacyclic codes of length 4ps over R.
@article{arxiv.1707.06133,
title = {A class of constacyclic codes over $\mathbb{F}_{p^m}[u]/\left<u^2\right>$},
author = {Anuradha Sharma and Saroj Rani},
journal= {arXiv preprint arXiv:1707.06133},
year = {2018}
}