[图书][B] Concise encyclopedia of coding theory

WC Huffman, JL Kim, P Solé - 2021 - api.taylorfrancis.com
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 …

Unimodular perfect and nearly perfect sequences: A variation of Björck's scheme

KT Arasu, MR Clark, JR Hollon - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Constant Amplitude (CA), Zero Auto Correlation (ZAC) sequences (or CAZAC sequences,
aka perfect sequences) have numerous applications. We generalize the CAZAC notion to …

Cyclotomy, difference sets, sequences with low correlation, strongly regular graphs, and related geometric substructures

K Momihara, Q Wang, Q Xiang - Proceedings of the workshop “ …, 2018 - degruyter.com
In this paper, we survey constructions of and nonexistence results on combinatorial/
geometric structures which arise from unions of cyclotomic classes of finite fields. In …

The proof of Lin's conjecture via the decimation-Hadamard transform

H Hu, S Shao, G Gong… - IEEE transactions on …, 2014 - ieeexplore.ieee.org
In 1998, Lin presented a conjecture on a class of ternary sequences with ideal two-level
autocorrelation. Those sequences have a very simple structure, ie, their trace representation …

Symmetric Hadamard matrices of orders 268, 412, 436 and 604

NA Balonin, DZ Dokovic - Информационно-управляющие …, 2018 - cyberleninka.ru
Purpose: To investigate more fully, than what was done in the past, certain families of
symmetric Hadamard matrices of small orders by using the so called propus construction …

Perfect Gaussian integer sequences from cyclic difference sets

X Chen, C Li, C Rong - 2016 IEEE International Symposium on …, 2016 - ieeexplore.ieee.org
A Gaussian integer is a complex number whose real and imaginary parts are both integers.
This paper proposed a unified construction of perfect Gaussian integer sequences based on …

Constructions of punctured difference set pairs and their corresponding punctured binary array pairs

KT Arasu, D Arya, A Bakshi - IEEE Transactions on Information …, 2015 - ieeexplore.ieee.org
In this paper, we present some construction methods for punctured binary array/sequence
pairs (PBAPs/PBSPs) with ideal/optimal correlation constant using their algebraic …

Character Sums and Polyphase Sequence Families with Low Correlation, Discrete Fourier Transform (DFT), and Ambiguity.

G Gong - Finite Fields and Their Applications, 2013 - degruyter.com
We present a survey on the current status of the constructions of polyphase sequences with
low correlation, discrete Fourier transform (DFT), and ambiguity in both time and phase …

Two constructions of binary sequences with optimal autocorrelation magnitude

EI Krengel, PV Ivanov - Electronics Letters, 2016 - Wiley Online Library
In this Letter, two constructions of new binary sequences with optimal autocorrelation
magnitude of length 4N derived from binary sequences with optimal autocorrelation of …

Phased unitary Golay pairs, Butson Hadamard matrices and a conjecture of Ito's

R Egan - Designs, codes and cryptography, 2019 - Springer
Pairs of complementary binary or quaternary sequences of length v such as Golay pairs,
complex Golay pairs and periodic Golay pairs may be used to construct Hadamard matrices …