Gregorio Quintana-Ortí

collaborators

3 papers

cs.IT2026

Implementing Basic Arithmetic in $F_{p}$ via $F_{2}$ , and Its Application for Computing the Hamming Distance of Linear Codes

Fernando Hernando, Gregorio Quintana-Ortí

We present a new general method for performing basic arithmetic in the finite field~ $F_{p}$ for any prime $p > 2$ by using traditional binary operations over~ $F_{2}$ . O…

cs.DC2024

Solving Large Rank-Deficient Linear Least-Squares Problems on Shared-Memory CPU Architectures and GPU Architectures

Mónica Chillarón, Gregorio Quintana-Ortí, Vicente Vidal +1

Solving very large linear systems of equations is a key computational task in science and technology. In many cases, the coefficient matrix of the linear system is rank-deficient,…

quant-ph2024

Fast Algorithms and Implementations for Computing the Minimum Distance of Quantum Codes

Fernando Hernando, Gregorio Quintana-Ortí, Markus Grassl

The distance of a stabilizer quantum code is a very important feature since it determines the number of errors that can be detected and corrected. We present three new fast algorit…

Implementing Basic Arithmetic in Fp​ via F2​, and Its Application for Computing the Hamming Distance of Linear Codes

Solving Large Rank-Deficient Linear Least-Squares Problems on Shared-Memory CPU Architectures and GPU Architectures

Fast Algorithms and Implementations for Computing the Minimum Distance of Quantum Codes

Implementing Basic Arithmetic in $F_{p}$ via $F_{2}$ , and Its Application for Computing the Hamming Distance of Linear Codes