Results 1 to 10 of about 23,262 (157)

On Quasi-Cyclic Codes of Index 3 [PDF]

Entropy
Quasi-cyclic codes of index 3 over finite fields are studied. We give a classification of such codes. Their duals with respect to the Euclidean and Hermitian inner products are investigated.
Kanat Abdukhalikov, Rasha M. Shat
doaj   +5 more sources

Quantum Coding via Quasi-Cyclic Block Matrix [PDF]

Entropy, 2023
An effective construction method for long-length quantum code has important applications in the field based on large-scale data. With the rapid development of quantum computing, how to construct this class of quantum coding has become one of the key ...
Yuan Li, Jin-Yang Li
doaj   +2 more sources

Optimized Design of Distributed Quasi-Cyclic LDPC Coded Spatial Modulation [PDF]

Sensors, 2023
We propose a distributed quasi-cyclic low-density parity-check (QC-LDPC) coded spatial modulation (D-QC-LDPCC-SM) scheme with source, relay and destination nodes. At the source and relay, two distinct QC-LDPC codes are used.
Chunli Zhao, Fengfan Yang, Daniel Kariuki Waweru, Chen Chen, Hongjun Xu   +4 more
doaj   +2 more sources

On the additive cyclic structure of quasi-cyclic codes [PDF]

Discrete Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cem Güneri, Funda Özdemir, Patrick Sole   +2 more
exaly   +5 more sources

Improved Spectral Bound for Quasi-Cyclic Codes

IEEE Transactions on Information Theory
Spectral bounds form a powerful tool to estimate the minimum distances of quasi-cyclic codes. They generalize the defining set bounds of cyclic codes to those of quasi-cyclic codes. Based on the eigenvalues of quasi-cyclic codes and the corresponding eigenspaces, we provide an improved spectral bound for quasi-cyclic codes.
Gaojun Luo, Martianus Frédéric Ezerman, San Ling   +2 more
exaly   +4 more sources

Two Open Problems on CA-Groupoids and Cancellativities of T2CA-Groupoids

Axioms, 2022
Cyclic associative groupoids (CA-groupoids) and Type-2 cyclic associative groupoids (T2CA-groupoids) are two types of non-associative groupoids which satisfy cyclic associative law and type-2 cyclic associative law, respectively.
Xiaogang An, Xiaohong Zhang, Zhirou Ma
doaj   +1 more source

Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces

InPrime, 2022
The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping.
Ainun Sukmawati Al Idrus, Resmawan Resmawan, Muhammad Rezky Friesta Payu, Salmun K. Nasib, Asriadi Asriadi   +4 more
doaj   +1 more source

An integer programming model for obtaining cyclic quasi-difference matrices

Operations Research Perspectives, 2023
Orthogonal arrays are of great importance in mathematical sciences. This paper analyses a certain practical advantage of quasi-difference matrices over difference matrices to obtain orthogonal arrays with given parameters.
Luis Martínez, María Merino, Juan Manuel Montoya   +2 more
doaj   +1 more source

Quasi-Cyclic Codes

CoRR, 2020
arXiv admin note: text overlap with arXiv:1906 ...
Güneri, Cem, Ling, San, Özkaya, Buket
openaire   +4 more sources

Quasi-Cyclic Subcodes of Cyclic Codes [PDF]

SIAM Journal on Discrete Mathematics, 2017
We completely characterize possible indices of quasi-cyclic subcodes in a cyclic code for a very broad class of cyclic codes. We present enumeration results for quasi-cyclic subcodes of a fixed index and show that the problem of enumeration is equivalent to enumeration of certain vector subspaces in finite fields.
Jean-Claude Belfiore, Cem Güneri, Buket Özkaya   +2 more
openaire   +6 more sources