Distribution of 0 and 1 in the highest level of primitivesequences over Z/(2~e) (Ⅱ) 被引量：6

Distribution of 0 and 1 in the highest level of primitivesequences over Z/(2~e) (Ⅱ)

导出

摘要 The distribution of 0 and 1 is studied in the highest level a e-1of primitive sequences over Z/(2\+e). It is proved that the proportion of 0 (or 1) in one period of a e-1is between 40% and 60% for e≥8. The distribution of 0 and 1 is studied in the highest level a e-1of primitive sequences over Z/(2\+e). It is proved that the proportion of 0 (or 1) in one period of a e-1is between 40% and 60% for e≥8.

作者 QI Wenfeng and ZHOU Jinjun Department of Applied Mathmatics, Zhengzhou Information Engineering Institute, Zhengzhou 450002, China

出处《Chinese Science Bulletin》 SCIE CAS 1998年第8期633-635,共3页

基金 theNationalNaturalScienceFoundationofChina (GrantNo.197710 88)andtheStateKeyLaboratoryofInformationSecurity,GraduateSchoolofChineseAcademyofScience

关键词 LINEAR recurring SEQUENCE PRIMITIVE SEQUENCE highest levelZ SEQUENCE DISTRIBUTION of 0 and 1. linear recurring sequence, primitive sequence, highest levelZ sequence, distribution of 0 and 1.

分类号 O211 [理学—概率论与数理统计]

引文网络
相关文献

同被引文献18

1戴宗铎,黄民强.A CRITERION FOR PRIMITIVENESS OF POLYNOMIALS OVER (?)/(2~d)[J].Chinese Science Bulletin,1991,36(11):892-895. 被引量：2
2[1]McDonald B R.Finite Rings with Identity[M].New York:MARCEL DEKKER INC,1974.
3[2]Nechaev A A.Kerdock's code in cyclic form[J].Diskret.Mat,1989,1 (4):123-139.
4[3]Dai Z D,Beth T,Gollman D.Lower bounds for the linear complexity of sequences over residue rings[A].Advances in Cryptology,Eurocrypt'90,Lncs[C].Berlin:Springer-Verlag,1991,473:189-195.
5[4]Huang M Q,Dai Z D.Projective maps of linear recurring sequences with maximal p-adic periods[J].Fibonacci Quart,1992,30(2):139-143.
6[6]Dai Z D.Binary sequences derived from ML-sequences over rings I: periods and minimal polynomials[J].Journal of Cryptology,1992,5(3):193-207.
7[7]Kamlovskii O V,Kuz'min A S.Distribution of elements on cycles of linear recurrent sequences over Galois rings[J].Communications of the Moscow Mathematical Society,1998,53(2):392-393.
8Wenfeng Qi,Jinjun Zhou.Distribution of 0 and 1 in the highest level of primitive sequences over ?/(2e)[J]. Science in China Series A: Mathematics . 1997 (6)
9Zong-Duo Dai.Binary sequences derived from ML-sequences over rings I: Periods and minimal polynomials[J]. Journal of Cryptology . 1992 (3)
10Zong-Duo Dai,T,Beth,D.Gollman.Lower bounds for the linear complexity of sequences over residue ring. "Advances in Cryptology-EUROCRYPT‘90" . 1991

引证文献6

1范淑琴,韩文报.0,1 distribution in the highest level sequences of primitive sequences over Z2e[J].Science China Mathematics,2003,46(4):516-524. 被引量：1
2朱宣勇,戚文峰.环Z/(p^e)上本原权位序列0元素分布的保熵性(Ⅱ)[J].应用数学学报,2004,27(4):730-743. 被引量：1
3YANG Junhui and ZHAI QibinInstitute of Software , Chinese Academy of Sciences , Beijing 100080, China ,State Key Laboratory of Information Security , Beijing 100080, China.Nondegenerative ML-sequences over ring Z/(2~e)[J].Chinese Science Bulletin,1999,44(17):1557-1561.
4熊海,屈龙江,李超.环Z/(p^e)上本原序列压缩映射的新结果[J].中国科学：数学,2014,44(4):369-379.
5戴宗铎,叶顶锋,王平,方根溪.Galois环导出p元序列中元素组的分布及其渐近均匀性[J].通信学报,2002,23(5):39-44.
6朱凤翔,戚文峰.Z/(2~e)上本原最高权位序列的随机性质[J].应用数学学报,2002,25(2):244-253. 被引量：1

二级引证文献3

1毛竞,朱宣勇,戚文峰.环Z/(2~e-1)上本原序列还原算法研究[J].信息工程大学学报,2013,14(2):129-134.
2Zhihua NIU,Zhixiong CHEN,Xiaoni DU.Linear complexity problems of level sequences of Euler quotients and their related binary sequences[J].Science China(Information Sciences),2016,59(3):71-82. 被引量：3
3孙霓刚,汪伟昕.环Z/(p^e)上最高权位序列模整数的保熵性[J].计算机应用研究,2017,34(7):2148-2150.

1LIU Yah-hi.On the Smarandache Pseudo Number Sequence[J].Chinese Quarterly Journal of Mathematics,2006,21(4):581-584. 被引量：7
2Qun Ying LIAO.On Primitive Optimal Normal Elements of Finite Fields[J].Journal of Mathematical Research and Exposition,2010,30(5):869-875. 被引量：1
3KANG Zhouzheng.Infinite Sequence Solutions for Space-Time Fractional Symmetric Regularized Long Wave Equation[J].Journal of Partial Differential Equations,2016,29(1):48-58.
4Jia Yuan HU,Wen Peng ZHANG.On Levine–O'Sullivan's Sequence and Its Conjecture[J].Acta Mathematica Sinica,English Series,2016,32(8):961-966. 被引量：2
5简芳洪,江海新,彭小智.D-图的特征[J].高师理科学刊,2010,30(4):24-26.
6Liu Yu-feng,Du Xian-kun.The Influence of Primitive Subgroups on the Structure of Finite Groups[J].Communications in Mathematical Research,2013,29(2):179-183.
7杨治虎,杜树斌,曾宪堂,宋张勇,王友德,苏弘.Study of n = 2, △n = 0 transition of Be-, B-, C-, N- and O-like sequence in the beam-foil spectrum of titanium[J].Chinese Physics B,2006,15(5):1004-1008.
8Estimation and Recomendation of the S-Wave Neutron Average Resonance Level[J].Annual Report of China Institute of Atomic Energy,1994(0):39-40.
9柳柏濂,李乔良.A conjecture about the strict fully indecomposable exponents of primitive matrices[J].Science China Mathematics,1996,39(1):29-38.

Chinese Science Bulletin

1998年第8期

浏览历史

内容加载中请稍等...

Distribution of 0 and 1 in the highest level of primitivesequences over Z/(2~e) (Ⅱ) 被引量：6

同被引文献18

引证文献6

二级引证文献3

相关作者

相关机构

相关主题

浏览历史