On Optimal Construction of Two Classes of ZCZ Codes

Takafumi HAYASHI; Shinya MATSUFUJI

doi:10.1093/ietfec/e89-a.9.2345

On Optimal Construction of Two Classes of ZCZ Codes

Takafumi HAYASHI, Shinya MATSUFUJI

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This paper presents constructions of two kinds of sets of sequences with a zero correlation zone, called ZCZ code, which can reach the upper bound of the member size of the sequence set. One is a ZCZ code which can be constructed by a unitary matrix and a perfect sequence. Especially, a ternary perfect sequence with elements 1 and zero can be used to construct the proposed ZCZ code. The other is a ZCZ code of pairs of ternary sequences and binary sequences which can be constructed by an orthogonal matrix that includes a Hadamard matrix and an orthogonal sequence pair. As a special case, an orthogonal sequence pair, which consists of a ternary sequence and a binary sequence, can be used to construct the proposed ZCZ code. These codes can provide CDMA systems without co-channel interference.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.9 pp.2345-2350

Publication Date: 2006/09/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.9.2345

Type of Manuscript: Special Section LETTER (Special Section on Sequence Design and its Application in Communications)

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Takafumi HAYASHI, Shinya MATSUFUJI, "On Optimal Construction of Two Classes of ZCZ Codes" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 9, pp. 2345-2350, September 2006, doi: 10.1093/ietfec/e89-a.9.2345.
Abstract: This paper presents constructions of two kinds of sets of sequences with a zero correlation zone, called ZCZ code, which can reach the upper bound of the member size of the sequence set. One is a ZCZ code which can be constructed by a unitary matrix and a perfect sequence. Especially, a ternary perfect sequence with elements 1 and zero can be used to construct the proposed ZCZ code. The other is a ZCZ code of pairs of ternary sequences and binary sequences which can be constructed by an orthogonal matrix that includes a Hadamard matrix and an orthogonal sequence pair. As a special case, an orthogonal sequence pair, which consists of a ternary sequence and a binary sequence, can be used to construct the proposed ZCZ code. These codes can provide CDMA systems without co-channel interference.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.9.2345/_p

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@ARTICLE{e89-a_9_2345,
author={Takafumi HAYASHI, Shinya MATSUFUJI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On Optimal Construction of Two Classes of ZCZ Codes},
year={2006},
volume={E89-A},
number={9},
pages={2345-2350},
abstract={This paper presents constructions of two kinds of sets of sequences with a zero correlation zone, called ZCZ code, which can reach the upper bound of the member size of the sequence set. One is a ZCZ code which can be constructed by a unitary matrix and a perfect sequence. Especially, a ternary perfect sequence with elements 1 and zero can be used to construct the proposed ZCZ code. The other is a ZCZ code of pairs of ternary sequences and binary sequences which can be constructed by an orthogonal matrix that includes a Hadamard matrix and an orthogonal sequence pair. As a special case, an orthogonal sequence pair, which consists of a ternary sequence and a binary sequence, can be used to construct the proposed ZCZ code. These codes can provide CDMA systems without co-channel interference.},
keywords={},
doi={10.1093/ietfec/e89-a.9.2345},
ISSN={1745-1337},
month={September},}

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TY - JOUR
TI - On Optimal Construction of Two Classes of ZCZ Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2345
EP - 2350
AU - Takafumi HAYASHI
AU - Shinya MATSUFUJI
PY - 2006
DO - 10.1093/ietfec/e89-a.9.2345
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2006
AB - This paper presents constructions of two kinds of sets of sequences with a zero correlation zone, called ZCZ code, which can reach the upper bound of the member size of the sequence set. One is a ZCZ code which can be constructed by a unitary matrix and a perfect sequence. Especially, a ternary perfect sequence with elements 1 and zero can be used to construct the proposed ZCZ code. The other is a ZCZ code of pairs of ternary sequences and binary sequences which can be constructed by an orthogonal matrix that includes a Hadamard matrix and an orthogonal sequence pair. As a special case, an orthogonal sequence pair, which consists of a ternary sequence and a binary sequence, can be used to construct the proposed ZCZ code. These codes can provide CDMA systems without co-channel interference.
ER -