Lee Distance of cyclic codes of length $2^{\varsigma }$ over ${\mathbb{F}}_{2^m}+u{\mathbb{F}}_{2^m}+u^2{\mathbb{F}}_{2^m}$

Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G R

Let $p$ be a prime number and $\varsigma$ and $m$ be a positive integers. Let $\mathcal{R}={\mathbb{F}}_{2^m}+u{\mathbb{F}}_{2^m}+u^2{\mathbb{F}}_{2^m}$ ($u^3=0$). Cyclic codes of length…