IEICE TRANSACTIONS on Fundamentals
New Constructions of Zero-Difference Balanced Functions
Summary :
Zero-difference balanced (ZDB) functions, which have many applications in coding theory and sequence design, have received a lot of attention in recent years. In this letter, based on two known classes of ZDB functions, a new class of ZDB functions, which is defined on the group (Z2e-1×Zn,+) is presented, where e is a prime and n=p1m1p2m2…pkmk, pi is odd prime satisfying that e|(pi-1) for any 1≤i≤k . In the case of gcd(2e-1,n)=1, the new constructed ZDB functions are cyclic.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.10 pp.1719-1723
- Publication Date
- 2018/10/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E101.A.1719
- Type of Manuscript
- LETTER
- Category
- Coding Theory
Authors
Zhibao LIN
Minjiang University,Fujian Normal University
Zhengqian LI
Fujian Normal University
Pinhui KE
Fujian Normal University
Keyword
Latest Issue
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Zhibao LIN, Zhengqian LI, Pinhui KE, "New Constructions of Zero-Difference Balanced Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 10, pp. 1719-1723, October 2018, doi: 10.1587/transfun.E101.A.1719.
Abstract: Zero-difference balanced (ZDB) functions, which have many applications in coding theory and sequence design, have received a lot of attention in recent years. In this letter, based on two known classes of ZDB functions, a new class of ZDB functions, which is defined on the group (Z2e-1×Zn,+) is presented, where e is a prime and n=p1m1p2m2…pkmk, pi is odd prime satisfying that e|(pi-1) for any 1≤i≤k . In the case of gcd(2e-1,n)=1, the new constructed ZDB functions are cyclic.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1719/_p
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@ARTICLE{e101-a_10_1719,
author={Zhibao LIN, Zhengqian LI, Pinhui KE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Constructions of Zero-Difference Balanced Functions},
year={2018},
volume={E101-A},
number={10},
pages={1719-1723},
abstract={Zero-difference balanced (ZDB) functions, which have many applications in coding theory and sequence design, have received a lot of attention in recent years. In this letter, based on two known classes of ZDB functions, a new class of ZDB functions, which is defined on the group (Z2e-1×Zn,+) is presented, where e is a prime and n=p1m1p2m2…pkmk, pi is odd prime satisfying that e|(pi-1) for any 1≤i≤k . In the case of gcd(2e-1,n)=1, the new constructed ZDB functions are cyclic.},
keywords={},
doi={10.1587/transfun.E101.A.1719},
ISSN={1745-1337},
month={October},}
Copy
TY - JOUR
TI - New Constructions of Zero-Difference Balanced Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1719
EP - 1723
AU - Zhibao LIN
AU - Zhengqian LI
AU - Pinhui KE
PY - 2018
DO - 10.1587/transfun.E101.A.1719
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2018
AB - Zero-difference balanced (ZDB) functions, which have many applications in coding theory and sequence design, have received a lot of attention in recent years. In this letter, based on two known classes of ZDB functions, a new class of ZDB functions, which is defined on the group (Z2e-1×Zn,+) is presented, where e is a prime and n=p1m1p2m2…pkmk, pi is odd prime satisfying that e|(pi-1) for any 1≤i≤k . In the case of gcd(2e-1,n)=1, the new constructed ZDB functions are cyclic.
ER -
English
