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This paper discusses factorization of bent function type complex Hadamard matrices of order *p*^{n} 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 *p*^{n} with *p*^{n+1} non-zero elements, a matrix of order *p*^{n} with *p*^{n} 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.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.12 pp.2765-2770

- Publication Date
- 1999/12/25

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- Special Section PAPER (Special Section on Spread Spectrum Techniques and Applications)

- Category

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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 *p*^{n} 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 *p*^{n} with *p*^{n+1} non-zero elements, a matrix of order *p*^{n} with *p*^{n} 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 *p*^{n} 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 *p*^{n} with *p*^{n+1} non-zero elements, a matrix of order *p*^{n} with *p*^{n} 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 *p*^{n} 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 *p*^{n} with *p*^{n+1} non-zero elements, a matrix of order *p*^{n} with *p*^{n} 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 -