1 citations · 1 across the 10 of their papers we have counts for
11 papers
On Variants of Inverse Cluster Size Problem & General Magnification
Shubham Jaiswal, M Krithika, P Vanchinathan
In this article we establish certain variants of the Inverse Cluster Size problem. We introduce the notion of primitive extensions and establish the Primitive variant of the proble…
On Minimal generating sets of splitting field, Cluster towers and Multiple transitivity of Galois groups
Shubham Jaiswal, P Vanchinathan
A natural generating set for a Galois extension regarded as the splitting field of an irreducible polynomial is introduced and investigated here. Minimal generating sets arising in…
Inflated G-Extensions for Algebraic Number Fields
M Krithika, P Vanchinathan
In 2018, Legrand and Paran proved a weaker form of the Inverse Galois Problem for all Hilbertian fields and all finite groups: that is, there exist possibly non-Galois extensions o…
Involutary pemutations over finite fields given by trinomials and quadrinomials
P Vanchinathan, Anitha G
For all finite fields of elements where we have constructed permutation polynomials which have order 2 as permutations, and have 3 terms, or 4 terms as polynom…
An Elementary Problem in Galois Theory about the Roots of Irreducible Polynomials
M Krithika, P Vanchinathan
For a field , and a root of an irreducible polynomial over (in some algebraic closure) the number of roots of lying in is studied here. Given such an $f(x)…
Collection of Polynomials over Finite Fields Providing Involutary Permutations
P Vanchinathan, Kevinsam B
For an odd prime power satisfying we construct totally permutation polyomials, all giving involutory permutations with exactly fi…
Exceptional Quartics are Ubiquitous
Aruna C, P Vanchinathan
For each real quadratic field we constructively show the existence of infinitely many exceptional quartic number fields containing that quadratic field. On the other hand, another…
Construction of Permutation Polynomials of Certain Specific Cycle Structure over Finite Fields
Anitha G, P Vanchinathan
For a finite field of odd number of elements we construct families of permutation binomials and permutation trinomials with one fixed-point (namely zero) and remaining elements bei…
An Infinite, Two-parameter Family of Polynomials with Factorization Similar to
P Vanchinathan, Krithika M
For a suitable irreducible \textit{base} polynomial of degree , a family of polynomials depending on is constructed with the properties:…
Symmetric Key Encryption for Arbitrary Block Sizes from Affine Spaces
P. Vanchinathan
A symmetric key encryption scheme is described for blocks of general size N that is a product of powers of many prime numbers. This is accomplished by realising each number (repres…
Nondegeneracy for Quotient Varieties under Finite Group Actions
S. S. Kannan, P. Vanchinathan
We prove that for an abelian group of order the morphism defined by $φ([f]) = [\prod_{σ\in G}…