Krishna Kaipa

activity

20142026

most citedLine Polar Grassmann Codes of Orthogonal Type

2 citations · 2 across the 6 of their papers we have counts for

collaborators

8 papers

cs.IT2026

Chordal Construction of Column-Twisted Reed--Solomon Codes

Anuj Kumar Bhagat, Krishna Kaipa

A $[n, k]_{q}$ Generalized Reed--Solomon (GRS) code can be represented, up to monomial equivalence, by a projective system consisting of $n$ points on a degree $(k - 1)$ rational normal…

math.RT2026

Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of $G L (n, q)$

Kumar Balasubramanian, Krishna Kaipa, Himanshi Khurana

Let $π$ be a cuspidal representation of $G L (n, F)$ over a finite field $F$ . Let $P = M N$ be the Levi decomposition of a maximal parabolic subgroup corresponding to the partition $(k,n…

math.CO2025

Incidence of lines, points, and planes in $P G (3, q)$ with respect to the twisted cubic

Krishna Kaipa, Puspendu Pradhan

We consider the orbits of the group $G = P G L_{2} (q)$ on the points, lines and planes of the projective space $P G (3, q)$ over a finite field $F_{q}$ of characteristic different fro…

math.CO2025

On the $P G L_{2} (q)$ -orbits of lines of $P G (3, q)$ and binary quartic forms in characteristic three

Krishna Kaipa, Puspendu Pradhan

We consider the problem of classifying the lines of the projective $3$ -space $P G (3, q)$ over a finite field $F_{q}$ into orbits of the group $P G L_{2} (q)$ of linear symmetries o…

math.RA2024

On the cardinality of matrices with prescribed rank and partial trace over a finite field

Kumar Balasubramanian, Krishna Kaipa, Himanshi Khurana

Let $F$ be the finite field of order $q$ and $\M(n,r, F)$ be the set of $n \times n$ matrices of rank $r$ over the field $F$ . For $α \in F$ and $A\in \M(n,F)$, let $$Z^α_{A,r}=\left\…

math.CO2024

Higher weight spectra of ternary codes associated to the quadratic Veronese $3$ -fold

Krishna Kaipa, Puspendu Pradhan

The problem studied in this work is to determine the higher weight spectra of the Projective Reed-Muller codes associated to the Veronese $3$ -fold $V$ in $P G (9, q)$ , which…

math.CO2023

On the $P G L_{2} (q)$ -orbits of lines of $P G (3, q)$ and binary quartic forms

Krishna Kaipa, Nupur Patanker, Puspendu Pradhan

We study the problem of classifying the lines of the projective $3$ -space $P G (3, q)$ over a finite field $GF (q)$ into orbits of the group $G = P G L (2, q)$ of linear symmetries of the tw…

math.CO2014★ 2 cited

Line Polar Grassmann Codes of Orthogonal Type

Ilaria Cardinali, Luca Giuzzi, Antonio Pasini

Polar Grassmann codes of orthogonal type have been introduced in I. Cardinali and L. Giuzzi, \emph{Codes and caps from orthogonal Grassmannians}, {Finite Fields Appl.} {\bf 24} (20…

Chordal Construction of Column-Twisted Reed--Solomon Codes

Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of GL(n,q)

Incidence of lines, points, and planes in PG(3,q) with respect to the twisted cubic

On the PGL2​(q)-orbits of lines of PG(3,q) and binary quartic forms in characteristic three

On the cardinality of matrices with prescribed rank and partial trace over a finite field

Higher weight spectra of ternary codes associated to the quadratic Veronese 3-fold

On the PGL2​(q)-orbits of lines of PG(3,q) and binary quartic forms

Line Polar Grassmann Codes of Orthogonal Type

Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of $G L (n, q)$

Incidence of lines, points, and planes in $P G (3, q)$ with respect to the twisted cubic

On the $P G L_{2} (q)$ -orbits of lines of $P G (3, q)$ and binary quartic forms in characteristic three

Higher weight spectra of ternary codes associated to the quadratic Veronese $3$ -fold

On the $P G L_{2} (q)$ -orbits of lines of $P G (3, q)$ and binary quartic forms