4 papers
Codeword Stabilized Codes from m-Uniform Graph States
Sowrabh Sudevan, Sourin Das, Thamadathil Aswanth +2
An m-uniform quantum state on n qubits is an entangled state in which every m-qubit subsystem is maximally mixed. Starting with an m-uniform state realized as the graph state assoc…
Code size constraints in b-symbol read channels: A bound analysis
Gyanendra K. Verma, Nupur Patanker, Abhay Kumar Singh
In classical coding theory, error-correcting codes are designed to protect against errors occurring at individual symbol positions in a codeword. However, in practical storage and…
On the number of minimal and next-to-minimal weight codewords of toric codes over hypersimplices
CÃcero Carvalho, Nupur Patanker
Toric codes are a type of evaluation code introduced by J.P. Hansen in 2000. They are produced by evaluating (a vector space composed by) polynomials at the points of $(\mathbb{F}_…
Next-to-minimal weight of toric codes defined over hypersimplices
CÃcero Carvalho, Nupur Patanker
Toric codes are a type of evaluation codes introduced by J.P. Hansen in 2000. They are produced by evaluating (a vector space composed by) polynomials at the points of $(\mathbb{F}…