Fernando Hernando

collaborators

11 papers

quant-ph2026

Entanglement assisted quantum $(r, δ)$ -locally recoverable codes

Carlos Galindo, Fernando Hernando, Helena Mart\'ın-Cruz +2

Quantum $(r, δ)$ -locally recoverable codes are quantum error-correcting codes capable of correcting $δ - 1$ qudit erasures within one subset of qudits of cardinality at most $r + δ - 1$ .…

cs.IT2026

Impure codes exceeding the pure bounds for quantum local recovery

Carlos Galindo, Fernando Hernando, Helena MartÃn-Cruz +1

Existing literature provides several bounds for quantum local recovery, which essentially consider the number of message qudits, the distance, the length, and the locality of the i…

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-OrtÃ

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.IT2026

The Schur product of evaluation codes and its application to CSS-T quantum codes and private information retrieval

Åeyma Bodur, Fernando Hernando, Edgar MartÃnez-Moro +1

In this work, we study the componentwise (Schur) product of monomial-Cartesian codes by exploiting its correspondence with the Minkowski sum of their defining exponent sets. We sho…

cs.IT2026

Quantum $(r, I^´)$ -Locally Recoverable BCH and Homothetic-BCH Codes

Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto

Quantum $(r, I^´)$ -locally recoverable codes ( $(r, I^´)$ -LRCs) are the quantum version of classical $(r, I^´)$ -LRCs designed to recover multiple failures in large-scale distributed and c…

cs.IT2025

Quantum $(r, I^´)$ -locally recoverable codes

Carlos Galindo, Fernando Hernando, Helena MartÃn-Cruz +1

Classical $(r, I^´)$ -locally recoverable codes are designed for avoiding loss of information in large scale distributed and cloud storage systems. We introduce the quantum counterpar…

Entanglement assisted quantum (r,δ)-locally recoverable codes

Impure codes exceeding the pure bounds for quantum local recovery

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

The Schur product of evaluation codes and its application to CSS-T quantum codes and private information retrieval

Quantum (r,I^´)-Locally Recoverable BCH and Homothetic-BCH Codes

Quantum (r,I^´)-locally recoverable codes

Entanglement assisted quantum $(r, δ)$ -locally recoverable codes

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

Quantum $(r, I^´)$ -Locally Recoverable BCH and Homothetic-BCH Codes

Quantum $(r, I^´)$ -locally recoverable codes