Krishna Kaipa

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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.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…

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

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

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