[图书][B] Concise encyclopedia of coding theory
Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …
Asymmetric entanglement-assisted quantum error-correcting codes and BCH codes
The concept of asymmetric entanglement-assisted quantum error-correcting code
(asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the …
(asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the …
New binary and ternary LCD codes
C Galindo, O Geil, F Hernando… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
LCD codes are linear codes with important cryptographic applications. Recently, a method
has been presented to transform any linear code into an LCD code with the same …
has been presented to transform any linear code into an LCD code with the same …
Asymmetric Quantum Concatenated and Tensor Product Codes With Large Z-Distances
In this paper, we present a new construction of asymmetric quantum codes (AQCs) by
combining classical concatenated codes (CCs) with tensor product codes (TPCs), called …
combining classical concatenated codes (CCs) with tensor product codes (TPCs), called …
On Steane-enlargement of quantum codes from Cartesian product point sets
RB Christensen, O Geil - Quantum Information Processing, 2020 - Springer
In this work, we study quantum error-correcting codes obtained by using Steane-
enlargement. We apply this technique to certain codes defined from Cartesian products …
enlargement. We apply this technique to certain codes defined from Cartesian products …
MDS, Hermitian almost MDS, and Gilbert–Varshamov quantum codes from generalized monomial-Cartesian codes
We construct new stabilizer quantum error-correcting codes from generalized monomial-
Cartesian codes. Our construction uses an explicitly defined twist vector, and we present …
Cartesian codes. Our construction uses an explicitly defined twist vector, and we present …
Two Gilbert–Varshamov-type existential bounds for asymmetric quantum error-correcting codes
R Matsumoto - Quantum Information Processing, 2017 - Springer
Two Gilbert–Varshamov-type existential bounds for asymmetric quantum error-correcting
codes | Quantum Information Processing Skip to main content SpringerLink Log in Menu Find …
codes | Quantum Information Processing Skip to main content SpringerLink Log in Menu Find …
Classical and quantum evaluation codes at the trace roots
We introduce a new class of evaluation linear codes by evaluating polynomials at the roots
of a suitable trace function. We give conditions for self-orthogonality of these codes and their …
of a suitable trace function. We give conditions for self-orthogonality of these codes and their …
The weight hierarchy of decreasing norm-trace codes
E Camps-Moreno, HH López, GL Matthews… - arXiv preprint arXiv …, 2024 - arxiv.org
The Generalized Hamming weights and their relative version, which generalize the
minimum distance of a linear code, are relevant to numerous applications, including coding …
minimum distance of a linear code, are relevant to numerous applications, including coding …
[HTML][HTML] On nested code pairs from the Hermitian curve
RB Christensen, O Geil - Finite Fields and Their Applications, 2020 - Elsevier
Nested code pairs play a crucial role in the construction of ramp secret sharing schemes [15]
and in the CSS construction of quantum codes [14]. The important parameters are (1) the …
and in the CSS construction of quantum codes [14]. The important parameters are (1) the …