[图书][B] Self-dual codes and invariant theory
G Nebe, EM Rains, NJA Sloane - 2006 - Springer
This book has two goals. On the one hand it develops a completely new unifying theory of
self-dual codes that enables us to prove a far-reaching generalization of Gleason's theorem …
self-dual codes that enables us to prove a far-reaching generalization of Gleason's theorem …
On the classification and enumeration of self-dual codes
WC Huffman - Finite Fields and Their Applications, 2005 - Elsevier
This article is a survey of the current status of the classification and enumeration of self-dual
linear codes of small to moderate lengths over the fields F2, F3, and F4 and the rings Z4 …
linear codes of small to moderate lengths over the fields F2, F3, and F4 and the rings Z4 …
A survey of the merit factor problem for binary sequences
J Jedwab - International Conference on Sequences and Their …, 2004 - Springer
A classical problem of digital sequence design, first studied in the 1950s but still not well
understood, is to determine those binary sequences whose aperiodic autocorrelations are …
understood, is to determine those binary sequences whose aperiodic autocorrelations are …
Additive asymmetric quantum codes
Additive Asymmetric Quantum Codes Page 1 5536 IEEE TRANSACTIONS ON INFORMATION
THEORY, VOL. 57, NO. 8, AUGUST 2011 Additive Asymmetric Quantum Codes Martianus …
THEORY, VOL. 57, NO. 8, AUGUST 2011 Additive Asymmetric Quantum Codes Martianus …
Hierarchy of multipartite correlations based on concentratable entanglement
Multipartite entanglement is one of the hallmarks of quantum mechanics and is central to
quantum information processing. In this work we show that concentratable entanglement …
quantum information processing. In this work we show that concentratable entanglement …
On self-dual quantum codes, graphs, and Boolean functions
LE Danielsen - arxiv preprint quant-ph/0503236, 2005 - arxiv.org
A short introduction to quantum error correction is given, and it is shown that zero-
dimensional quantum codes can be represented as self-dual additive codes over GF (4) and …
dimensional quantum codes can be represented as self-dual additive codes over GF (4) and …
New qubit codes from multidimensional circulant graphs
P Seneviratne, H Cuff, A Koletsos, K Seekamp… - Discrete …, 2024 - Elsevier
Two new qubit stabilizer codes with parameters [77, 0, 19] 2 and [90, 0, 22] 2 are constructed
for the first time by employing additive symplectic self-dual F 4 codes from multidimensional …
for the first time by employing additive symplectic self-dual F 4 codes from multidimensional …
Directed graph representation of half-rate additive codes over GF (4)
We show that (n, 2 n) additive codes over GF (4) can be represented as directed graphs.
This generalizes earlier results on self-dual additive codes over GF (4), which correspond to …
This generalizes earlier results on self-dual additive codes over GF (4), which correspond to …
A method for constructing quaternary Hermitian self-dual codes and an application to quantum codes
M Harada - Designs, Codes and Cryptography, 2024 - Springer
We introduce quaternary modified four\(\mu\)-circulant codes as a modification of four
circulant codes. We give basic properties of quaternary modified four\(\mu\)-circulant …
circulant codes. We give basic properties of quaternary modified four\(\mu\)-circulant …
Aperiodic propagation criteria for Boolean functions
We characterise the aperiodic autocorrelation for a Boolean function, f, and define the
Aperiodic Propagation Criteria (APC) of degree l and order q. We establish the strong …
Aperiodic Propagation Criteria (APC) of degree l and order q. We establish the strong …