39 citations · 311 across the 30 of their papers we have counts for
4 papers · 1 filter
Arithmetic Progressions in a Unique Factorization Domain
Sudhir R. Ghorpade, Samrith Ram
Pillai showed that any sequence of consecutive integers with at most 16 terms possesses one term that is relatively prime to all the others. We give a new proof of a slight general…
Duals of Affine Grassmann Codes and their Relatives
Peter Beelen, Sudhir R. Ghorpade, Tom Hoeholdt
Affine Grassmann codes are a variant of generalized Reed-Muller codes and are closely related to Grassmann codes. These codes were introduced in a recent work [2]. Here we consider…
Higher weights of Grassmann codes in terms of properties of Schubert unions
Sudhir R. Ghorpade, Trygve Johnsen, Arunkumar R. Patil +1
We describe the higher weights of the Grassmann codes over finite fields in terms of properties of Schubert unions, and in each case we determine the weigh…
Block Companion Singer Cycles, Primitive Recursive Vector Sequences, and Coprime Polynomial Pairs over Finite Fields
Sudhir R. Ghorpade, Samrith Ram
We discuss a conjecture concerning the enumeration of nonsingular matrices over a finite field that are block companion and whose order is the maximum possible in the corresponding…