The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
코딩 이론 및 시퀀스 설계에 많이 응용되는 ZDB(Zero-difference Balanced) 함수는 최근 몇 년 동안 많은 주목을 받았습니다. 이 편지에서는 두 가지 알려진 ZDB 함수 클래스를 기반으로 그룹에 정의된 새로운 ZDB 함수 클래스(Z2e-1×Zn,+)가 표시됩니다. 여기서 e 소수이고 n=p1m1p2m2...pkmk, pi 는 다음을 만족하는 홀수이다 e|(pi-1) 1≤의 경우i≤k . gcd(2의 경우e- 1,n)=1인 경우 새로 구성된 ZDB 함수는 순환적입니다.
Zhibao LIN
Minjiang University,Fujian Normal University
Zhengqian LI
Fujian Normal University
Pinhui KE
Fujian Normal University
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
부
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
부
@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},}
부
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 -