4 citations · 12 across the 6 of their papers we have counts for
6 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…
New quantum codes from homothetic-BCH codes
Carlos Galindo, Fernando Hernando, Helena Martín-Cruz
We introduce homothetic-BCH codes. These are a family of -ary classical codes of length , where and are suitable positive integers such that the…
Quantum -locally recoverable codes
Carlos Galindo, Fernando Hernando, Helena Martín-Cruz +1
Classical -locally recoverable codes are designed for avoiding loss of information in large scale distributed and cloud storage systems. We introduce the quantum counterpart…
Stabilizer quantum codes defined by trace-depending polynomials
Carlos Galindo, Fernando Hernando, Helena Martín-Cruz +1
Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace. In this paper, we propose to evaluate polynom…
Optimal -LRCs from monomial-Cartesian codes and their subfield-subcodes
Carlos Galindo, Fernando Hernando, Helena Martín-Cruz
We study monomial-Cartesian codes (MCCs) which can be regarded as -locally recoverable codes (LRCs). These codes come with a natural bound for their minimum distance and we…