Divya Acharya

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20242026

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math.RA2025

Reversible and Reversible-Complement Double Cyclic Codes over F4+vF4 and its Application to DNA Codes

Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G. R

In this article, we study the algebraic structure of double cyclic codes of length $(m, n)$ over $F_{4}$ and we give a necessary and sufficient condition for a double cyclic…

math.CO2025

Lee Distance of cyclic codes of length $2^{ς}$ over $F_{2^{m}} + u F_{2^{m}} + u^{2} F_{2^{m}}$

Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G R

Let $p$ be a prime number and $ς$ and $m$ be a positive integers. Let $R = F_{2^{m}} + u F_{2^{m}} + u^{2} F_{2^{m}}$ ( $u^{3} = 0$ ). Cyclic codes of length…

Reversible and Reversible-Complement Double Cyclic Codes over F4+vF4 and its Application to DNA Codes

Lee Distance of cyclic codes of length 2ς over F2m​+uF2m​+u2F2m​

Lee Distance of cyclic codes of length $2^{ς}$ over $F_{2^{m}} + u F_{2^{m}} + u^{2} F_{2^{m}}$