Explores entanglement-assisted codes using polycyclic codes over Rl, suggesting novel applications in quantum error correction.
In this paper, we study polycyclic codes over the ring Rl = Fq[w] / 〈wl − 1〉 with q = pk, where k is a positive integer and p is an odd prime. We explore LCD annihilator, self-dual, self-orthogonal codes over Rl and polycyclic codes over Rl. Moreover, we provide a structure of entanglement-assisted quantum error-correcting codes based on the developed polycyclic codes through the inclusion of dual contained conditions. Subsequently, some LCD hull code-derived entanglement-assisted quantum error-correcting code examples are presented.
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Radhakrishnan et al. (2026) studied this question.
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