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A new frequency-hopping sequence set based upon generalized cyclotomy

Designs, Codes, and Cryptography, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhengchun Zhou, Daiyuan Peng
exaly   +2 more sources

A Unified Approach to Whiteman's and Ding-Helleseth's Generalized Cyclotomy Over Residue Class Rings

IEEE Transactions on Information Theory, 2014
The theory of cyclotomy dates back to Gauss and has a number of applications in combinatorics, coding theory, and cryptography. Cyclotomy over a residue class ring \BBZv can be divided into classical cyclotomy or generalized cyclotomy, depending on v prime or composite.
Gennian Ge
exaly   +2 more sources

Design sequences with high linear complexity over finite fields using generalized cyclotomy

Cryptography and Communications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vladimir Edemskiy
exaly   +3 more sources

Quantum Synchronizable Codes from Generalized Cyclotomy

2022 10th International Workshop on Signal Design and Its Applications in Communications (IWSDA), 2022
Tongjiang Yan
exaly   +3 more sources

Binary QC-LDPC Codes Based on Whiteman's Generalized Cyclotomy

2023 8th International Conference on Communication, Image and Signal Processing (CCISP), 2023
Zhi-Ping Shi
exaly   +2 more sources

Quantum synchronizable codes through generalized cyclotomy of order 2r over Z2n

Journal of Interdisciplinary Mathematics
In this work, we introduce the construction of a generalized cyclotomic class of order 2r over Z2n, and the work further shows that the resulting codes are cyclic codes containing their dual, along with their augmented counterparts. In addition, the research provides a comprehensive analysis of two categories of quantum synchronization capabilities ...
Manju Pruthi   +2 more
exaly   +2 more sources

CSS codes and QSCs from Whiteman’s Generalized Cyclotomy of order four

2023 IEEE International Symposium on Information Theory (ISIT), 2023
Pramod Kewat
exaly   +2 more sources

$k$-Fold Cyclotomy and Its Application to Frequency-Hopping Sequences

open access: yesIEEE Transactions on Information Theory, 2011
For an integer k ??? 1, let qi, 1 ??? I ??? k, be prime powers such that qi=Mi f + 1 for some integers M i and f. In this paper, the k -fold cyclotomy of double-struck F signq1 ?? ⋯ ??
Kyeongcheol Yang
exaly   +2 more sources

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