4 papers
Generalization of trace codes to places of higher degree
Nupur Patanker, Sanjay Kumar Singh
In this note, we give a construction of codes on algebraic function field using places of (not necessarily of degree one) and trace functions from various e…
Generalized Hamming weights of toric codes over hypersimplices and square-free affine evaluation codes
Nupur Patanker, Sanjay Kumar Singh
Let be a finite field with elements, where is a power of prime . A polynomial over is square-free if all its monomials are square-free.…
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{…
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…