Abstract
We take a ring \(R = \mathbb F_2+s\mathbb F_2+s^2\mathbb F_2\). We consider a Gray map on this ring, discuss self-dual codes, define various weight enumerators over the ring, and discuss equivalence class of codes over the ring. We construct self-dual codes of Type I and Type II over the given ring for different lengths.
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Ankur Type I and Type II codes over the ring \(\mathbb F_2+s \mathbb F_2+s^2\mathbb F_2\). Arab. J. Math. 9, 1–7 (2020). https://doi.org/10.1007/s40065-018-0218-4
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DOI: https://doi.org/10.1007/s40065-018-0218-4