A new result on the distinctness of primitive sequences over <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="bold">Z</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> modulo 2

Qun-Xiong Zheng; Wen-Feng Qi

doi:10.1016/j.ffa.2010.12.004

A new result on the distinctness of primitive sequences over Z/(pq) modulo 2

Finite Fields and Their Applications ◽

10.1016/j.ffa.2010.12.004 ◽

2011 ◽

Vol 17 (3) ◽

pp. 254-274 ◽

Cited By ~ 9

Author(s):

Qun-Xiong Zheng ◽

Wen-Feng Qi

Keyword(s):

Primitive Sequences

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A Tighter Bound for the Character Sum of Primitive Sequences over Residue Rings Modulo Square-Free Odd Integers

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e98.a.246 ◽

2015 ◽

Vol E98.A (1) ◽

pp. 246-249

Author(s):

Lin WANG ◽

Yu ZHOU ◽

Ying GAO

Keyword(s):

Character Sum ◽

Primitive Sequences

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An Upper Bound of Σ1/(a i loga i ) for Primitive Sequences

Proceedings of the American Mathematical Society ◽

10.2307/2160889 ◽

1995 ◽

Vol 123 (2) ◽

pp. 363

Author(s):

David A. Clark

Keyword(s):

Upper Bound ◽

Primitive Sequences

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0,1 distribution in the highest level sequences of primitive sequences overZ 2e

Science in China Series A Mathematics ◽

10.1007/bf02884023 ◽

2003 ◽

Vol 46 (4) ◽

pp. 516-524

Author(s):

Shuqin Fan ◽

Wenbao Han

Keyword(s):

Primitive Sequences

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On the distinctness of modular reductions of primitive sequences modulo square-free odd integers

Information Processing Letters ◽

10.1016/j.ipl.2012.07.006 ◽

2012 ◽

Vol 112 (22) ◽

pp. 872-875 ◽

Cited By ~ 4

Author(s):

Qunxiong Zheng ◽

Wenfeng Qi ◽

Tian Tian

Keyword(s):

Primitive Sequences ◽

Modular Reductions

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Injectivity on distribution of elements in the compressed sequences derived from primitive sequences over ℤ p e $\mathbb {Z}_{p^{e}}$

Cryptography and Communications ◽

10.1007/s12095-017-0278-x ◽

2018 ◽

Vol 11 (2) ◽

pp. 167-189 ◽

Cited By ~ 1

Author(s):

Lin Wang ◽

Zhi Hu

Keyword(s):

Distribution Of Elements ◽

Primitive Sequences

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Random properties of the highest level sequences of primitive sequences over Z//sub 2/sup e//

IEEE Transactions on Information Theory ◽

10.1109/tit.2003.811916 ◽

2003 ◽

Vol 49 (6) ◽

pp. 1553-1557 ◽

Cited By ~ 25

Author(s):

Shuqin Fan ◽

Wenbao Han

Keyword(s):

Primitive Sequences

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New results on (0,2a)-primitive sequences, a odd

Indagationes Mathematicae (Proceedings) ◽

10.1016/s1385-7258(78)80028-6 ◽

1978 ◽

Vol 81 (1) ◽

pp. 385-397

Author(s):

R. Sattler

Keyword(s):

Primitive Sequences

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On the distinctness of primitive sequences over Z/(p e q) modulo 2

Cryptography and Communications ◽

10.1007/s12095-015-0151-8 ◽

2015 ◽

Vol 8 (3) ◽

pp. 371-381 ◽

Cited By ~ 1

Author(s):

Yuan Cheng ◽

Wen-Feng Qi ◽

Qun-Xiong Zheng ◽

Dong Yang

Keyword(s):

Primitive Sequences

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On the Distinctness of Binary Sequences Derived From Primitive Sequences Modulo Square-Free Odd Integers

IEEE Transactions on Information Theory ◽

10.1109/tit.2012.2212694 ◽

2013 ◽

Vol 59 (1) ◽

pp. 680-690 ◽

Cited By ~ 8

Author(s):

Qun-Xiong Zheng ◽

Wen-Feng Qi ◽

Tian Tian

Keyword(s):

Binary Sequences ◽

Primitive Sequences

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Distribution of 0 and 1 in the highest level of primitive sequences over ℤ/(2e)

Science in China Series A Mathematics ◽

10.1007/bf02876064 ◽

1997 ◽

Vol 40 (6) ◽

pp. 606-611 ◽

Cited By ~ 15

Author(s):

Wenfeng Qi ◽

Jinjun Zhou

Keyword(s):

Primitive Sequences

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