3 papers
cs.IT2019
On geometric Goppa codes from Elementary Abelian -Extensions of
Nupur Patanker, Sanjay Kumar Singh
Let be a prime number and an integer. In this short note, we investigate one-point geometric Goppa codes associated with an elementary abelian -extension of $\mathbb{…
math.AG2019
A Short Note on Self-Duality of Goppa Codes on Elliptic and Hyperelliptic Function Fields
Nupur Patanker, Sanjay Kumar Singh
In this note, we investigate Goppa codes which are constructed by means of Elliptic function field and Hyperelliptic function field. We also give a simple criterion for self-dualit…
math.AG2015
Diagonal property of the symmetric product of a smooth curve
Indranil Biswas, Sanjay Kumar Singh
Let be an irreducible smooth projective curve defined over an algebraically closed field. We prove that the symmetric product has the diagonal property for all…