107 citations · 626 across the 44 of their papers we have counts for
44 papers
Entanglement assisted quantum -locally recoverable codes
Carlos Galindo, Fernando Hernando, Helena Martín-Cruz +1
Quantum -locally recoverable codes are quantum error-correcting codes capable of correcting qudit erasures within one subset of qudits of cardinality at most .…
Impure codes exceeding the pure bounds for quantum local recovery
Carlos Galindo, Fernando Hernando, Helena Martín-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…
Implementing Basic Arithmetic in via , 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~ for any prime by using traditional binary operations over~. O…
Quantum -Locally Recoverable BCH and Homothetic-BCH Codes
Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto
Quantum -locally recoverable codes (-LRCs) are the quantum version of classical -LRCs designed to recover multiple failures in large-scale distributed and clou…
New Quantum Stabilizer Codes from generalized Monomial-Cartesian Codes constructed using two different generalized Reed-Solomon codes
Oisin Campion, Fernando Hernando, Gary McGuire
In this work, we define Generalized Monomial Cartesian Codes (GMCC), which constitute a natural extension of generalized Reed-Solomon codes. We describe how two different generaliz…
The Schur product of evaluation codes and its application to CSS-T quantum codes and private information retrieval
Şeyma Bodur, Fernando Hernando, Edgar Martínez-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…