Symmetrical Factorization of Bent Function Type Complex Hadamard Matrices
Summary :
This paper discusses factorization of bent function type complex Hadamard matrices of order pn with a prime p. It is shown that any bent function type complex Hadamard matrix has symmetrical factorization, which can be expressed by the product of n matrices of order pn with pn+1 non-zero elements, a matrix of order pn with pn non-zero ones, and the n matrices, at most. As its application, a correlator for M-ary spread spectrum communications is successfully given, which can be simply constructed by the same circuits with reduced multiplicators, before and behind.
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- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.12 pp.2765-2770
- Publication Date
- 1999/12/25
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- Type of Manuscript
- Special Section PAPER (Special Section on Spread Spectrum Techniques and Applications)
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Shinya MATSUFUJI, Naoki SUEHIRO, "Symmetrical Factorization of Bent Function Type Complex Hadamard Matrices" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 12, pp. 2765-2770, December 1999, doi: .
Abstract: This paper discusses factorization of bent function type complex Hadamard matrices of order pn with a prime p. It is shown that any bent function type complex Hadamard matrix has symmetrical factorization, which can be expressed by the product of n matrices of order pn with pn+1 non-zero elements, a matrix of order pn with pn non-zero ones, and the n matrices, at most. As its application, a correlator for M-ary spread spectrum communications is successfully given, which can be simply constructed by the same circuits with reduced multiplicators, before and behind.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_12_2765/_p
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@ARTICLE{e82-a_12_2765,
author={Shinya MATSUFUJI, Naoki SUEHIRO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Symmetrical Factorization of Bent Function Type Complex Hadamard Matrices},
year={1999},
volume={E82-A},
number={12},
pages={2765-2770},
abstract={This paper discusses factorization of bent function type complex Hadamard matrices of order pn with a prime p. It is shown that any bent function type complex Hadamard matrix has symmetrical factorization, which can be expressed by the product of n matrices of order pn with pn+1 non-zero elements, a matrix of order pn with pn non-zero ones, and the n matrices, at most. As its application, a correlator for M-ary spread spectrum communications is successfully given, which can be simply constructed by the same circuits with reduced multiplicators, before and behind.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - Symmetrical Factorization of Bent Function Type Complex Hadamard Matrices
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2765
EP - 2770
AU - Shinya MATSUFUJI
AU - Naoki SUEHIRO
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 1999
AB - This paper discusses factorization of bent function type complex Hadamard matrices of order pn with a prime p. It is shown that any bent function type complex Hadamard matrix has symmetrical factorization, which can be expressed by the product of n matrices of order pn with pn+1 non-zero elements, a matrix of order pn with pn non-zero ones, and the n matrices, at most. As its application, a correlator for M-ary spread spectrum communications is successfully given, which can be simply constructed by the same circuits with reduced multiplicators, before and behind.
ER -
English
