Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics)
 RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 PFMT: Year: Volume: Issue: Page: Find

 PFMT, 2017, Issue 2(31), Pages 91–95 (Mi pfmt509)

INFORMATION SCIENCE

On the existence of binary $\mathrm{C}$-codes of length $N = 32$ with a predetermined value of PAPR of Walsh–Hadamard spectrum

A. V. Sokolov, I. V. Tsevukh

Odessa National Polytechnic University

Abstract: The spectral classification of sequences of length $N = 32$ in accordance with the structure and the value of the PAPR (Peak-to-Average Power Ratio) of Walsh–Hadamard spectrum resulting in $40$ different spectral sets was performed. The maximal achievable cardinality of $\mathrm{C}$-codes with a predetermined value of PAPR was calculated. Taking into account the interconnection between PAPR value of the Walsh–Hadamard spectrum and nonlinearity distance of binary sequence of length $N = 32$, the cardinalities of classes of sequences with a determined value of nonlinearity distance were found.

Keywords: Walsh–Hadamard transform, PAPR, nonlinearity distance.

Full text: PDF file (343 kB)
References: PDF file   HTML file
UDC: 510.644

Citation: A. V. Sokolov, I. V. Tsevukh, “On the existence of binary $\mathrm{C}$-codes of length $N = 32$ with a predetermined value of PAPR of Walsh–Hadamard spectrum”, PFMT, 2017, no. 2(31), 91–95

Citation in format AMSBIB
\Bibitem{SokTse17} \by A.~V.~Sokolov, I.~V.~Tsevukh \paper On the existence of binary $\mathrm{C}$-codes of length $N = 32$ with a predetermined value of PAPR of Walsh--Hadamard spectrum \jour PFMT \yr 2017 \issue 2(31) \pages 91--95 \mathnet{http://mi.mathnet.ru/pfmt509}