1 citations · 1 across the 5 of their papers we have counts for
6 papers
Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol
David Grant, John D. Massman, III +1
We give a new construction of linear codes over finite fields on higher dimensional varieties using Grothendieck's theory of residues. This generalizes the construction of differen…
Azumaya algebras with involution and classical semisimple group schemes
S. Srimathy
Let be a non-empty scheme with 2 invertible. In this paper we present a functor where and are fibered categories over $Sc…
A finiteness theorem for special unitary groups of quaternionic skew-hermitian forms with good reduction
Srimathy Srinivasan
Given a field equipped with a set of discrete valuations , we develop a general theory to relate reduction properties of skew-hermitian forms over a quaternion -algebra $…
Motivic Decomposition of Projective Pseudo-homogeneous Varieties
Srimathy Srinivasan
Let be a semi-simple algebraic group over a perfect field . A lot of progress has been made recently in computing the Chow motives of projective -homogenous varieties. Wh…
A short proof that all linear codes are weakly algebraic-geometric using Bertini theorems of B. Poonen
Srimathy Srinivasan
In this paper we give a simpler proof of a deep theorem proved by Pellikan, Shen and van Wee that all linear codes are weakly algebraic-geometric using a theorem of B.Poonen.
Codes on Planar Graphs
Srimathy Srinivasan, Andrew Thangaraj
Codes defined on graphs and their properties have been subjects of intense recent research. On the practical side, constructions for capacity-approaching codes are graphical. On th…