R. Sharma

activity

20242026

collaborators

7 papers

math.NT2026

Twisted Derivations in Algebraic Number Fields

Praveen Manju, Rajendra Kumar Sharma

Let $A$ be a commutative ring with unity and $B = A [I^¸]$ be an integral extension of $A$ . Assume that $B$ is an integral domain with quotient field $K$ and $E$ is…

math.NT2026

$(I ¨ , I ¨ )$ -Derivations of Number Rings with Coding Theory Applications

Praveen Manju, Rajendra Kumar Sharma

In this article, we study $(I ¨ , I ¨ )$ -derivations of number rings by considering them as commutative unital $Z$ -algebras. We begin by characterizing all $(I ¨ , I ¨ )$ -derivati…

math.NT2025

The Exact Enumeration of $4$ -nomial and $5$ -nomial Multiples of the Product of Primitive Polynomials over GF(2)

Soniya Takshak, Rajendra Kumar Sharma

Linear feedback shift registers (LFSRs) are used to generate secret keys in stream cipher cryptosystems. There are different kinds of key-stream generators like filter generators,…

math.RA2024

Inner and Outer Twisted Derivations of Cyclic Group Rings

Praveen Manju, Rajendra Kumar Sharma

In this article, we study twisted derivations of cyclic group rings. Let $R$ be a commutative ring with unity, $G$ be a finite cyclic group, and ( $I ¨ , I ¨ $ ) be a pair of $R$ -algebra…

math.NT2024

$F_{q}$ -primitive points on varieties over finite fields

Soniya Takshak, Giorgos Kapetanakis, Rajendra Kumar Sharma

Let $r$ be a positive divisor of $q - 1$ and $f (x, y)$ a rational function of degree sum $d$ over $F_{q}$ with some restrictions, where the degree sum of a rational function $f…

math.RA2024

Inner and Outer Derivations of $F V_{8 n}$

Praveen Manju, Rajendra Kumar Sharma

Let $F$ be a field of characteristic $0$ or an odd rational prime $p$ . In this article, we give an explicit classification of all the inner and outer derivations of the gr…

Twisted Derivations in Algebraic Number Fields

(I¨,I¨)-Derivations of Number Rings with Coding Theory Applications

The Exact Enumeration of 4-nomial and 5-nomial Multiples of the Product of Primitive Polynomials over GF(2)

Inner and Outer Twisted Derivations of Cyclic Group Rings

Fq​-primitive points on varieties over finite fields

Inner and Outer Derivations of FV8n​

$(I ¨ , I ¨ )$ -Derivations of Number Rings with Coding Theory Applications

The Exact Enumeration of $4$ -nomial and $5$ -nomial Multiples of the Product of Primitive Polynomials over GF(2)

$F_{q}$ -primitive points on varieties over finite fields

Inner and Outer Derivations of $F V_{8 n}$