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In this paper, we present a new approach to the construction of a set of binary sequences with a zero-correlation zone. The set consists of *n* pairs of binary sequences and the length of each binary sequence is *n*2^{(m+2)} for some integers *m* and *n*. The Hadamard sequences with length *n* are used to construct the set. Any sequence in the set has 2^{(m+1)} subsequences, each of length 2*n*. The author proves that any two subsequences are orthogonal if they belong to different pairs of binary sequences in the set.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.6 pp.1420-1425

- Publication Date
- 2002/06/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- LETTER

- Category
- Coding Theory

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Takafumi HAYASHI, "Binary Sequences with Orthogonal Subsequences and a Zero-Correlation Zone: Pair-Preserving Shuffled Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 6, pp. 1420-1425, June 2002, doi: .

Abstract: In this paper, we present a new approach to the construction of a set of binary sequences with a zero-correlation zone. The set consists of *n* pairs of binary sequences and the length of each binary sequence is *n*2^{(m+2)} for some integers *m* and *n*. The Hadamard sequences with length *n* are used to construct the set. Any sequence in the set has 2^{(m+1)} subsequences, each of length 2*n*. The author proves that any two subsequences are orthogonal if they belong to different pairs of binary sequences in the set.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_6_1420/_p

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@ARTICLE{e85-a_6_1420,

author={Takafumi HAYASHI, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Binary Sequences with Orthogonal Subsequences and a Zero-Correlation Zone: Pair-Preserving Shuffled Sequences},

year={2002},

volume={E85-A},

number={6},

pages={1420-1425},

abstract={In this paper, we present a new approach to the construction of a set of binary sequences with a zero-correlation zone. The set consists of *n* pairs of binary sequences and the length of each binary sequence is *n*2^{(m+2)} for some integers *m* and *n*. The Hadamard sequences with length *n* are used to construct the set. Any sequence in the set has 2^{(m+1)} subsequences, each of length 2*n*. The author proves that any two subsequences are orthogonal if they belong to different pairs of binary sequences in the set.},

keywords={},

doi={},

ISSN={},

month={June},}

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TY - JOUR

TI - Binary Sequences with Orthogonal Subsequences and a Zero-Correlation Zone: Pair-Preserving Shuffled Sequences

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 1420

EP - 1425

AU - Takafumi HAYASHI

PY - 2002

DO -

JO - IEICE TRANSACTIONS on Fundamentals

SN -

VL - E85-A

IS - 6

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - June 2002

AB - In this paper, we present a new approach to the construction of a set of binary sequences with a zero-correlation zone. The set consists of *n* pairs of binary sequences and the length of each binary sequence is *n*2^{(m+2)} for some integers *m* and *n*. The Hadamard sequences with length *n* are used to construct the set. Any sequence in the set has 2^{(m+1)} subsequences, each of length 2*n*. The author proves that any two subsequences are orthogonal if they belong to different pairs of binary sequences in the set.

ER -