On Whiteman's and Storer's difference sets

Zhenfu Cao

doi:10.1016/S0378-3758(00)00248-2

On Whiteman's and Storer's difference sets

Zhenfu Cao^*

^*Corresponding author for this work

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove that all Storer's difference sets are cyclic. We also prove that for p<1.8×10²⁵, Whiteman's difference sets exist if and only if (p,q)=(17,53) and (46817,140453).

Original language	English
Pages (from-to)	147-154
Number of pages	8
Journal	Journal of Statistical Planning and Inference
Volume	94
Issue number	2
DOIs	https://doi.org/10.1016/S0378-3758(00)00248-2
State	Published - 1 Apr 2001
Externally published	Yes

Keywords

05B10
Cyclic
Difference set
Recursive sequence

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10.1016/S0378-3758(00)00248-2

Cite this

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title = "On Whiteman's and Storer's difference sets",

abstract = "In this paper, we prove that all Storer's difference sets are cyclic. We also prove that for p<1.8×1025, Whiteman's difference sets exist if and only if (p,q)=(17,53) and (46817,140453).",

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author = "Zhenfu Cao",

year = "2001",

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AU - Cao, Zhenfu

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AB - In this paper, we prove that all Storer's difference sets are cyclic. We also prove that for p<1.8×1025, Whiteman's difference sets exist if and only if (p,q)=(17,53) and (46817,140453).

KW - 05B10

KW - Cyclic

KW - Difference set

KW - Recursive sequence

UR - https://www.scopus.com/pages/publications/0035315159

U2 - 10.1016/S0378-3758(00)00248-2

DO - 10.1016/S0378-3758(00)00248-2

M3 - 文章

AN - SCOPUS:0035315159

SN - 0378-3758

VL - 94

SP - 147

EP - 154

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 2

ER -

On Whiteman's and Storer's difference sets

Abstract

Keywords

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