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Nonexistence Results on Chen and Davis–Jedwab Difference Sets

✍ Scribed by Bernhard Schmidt

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
132 KB
Volume
202
Category
Article
ISSN
0021-8693

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✦ Synopsis

We consider difference sets that have the parameters of the two series constructed recently by Chen respectively Davis and Jedwab. We show that the exponent bound following from the results of Turyn cannot be attained for these parameter series. In some cases this leads to a necessary and sufficient condition for the existence of such difference sets.

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Some nonexistence results on generalized
Some nonexistence results on generalized difference sets
✍ Xiwang Cao; Daying Sun 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 202 KB

In order to construct sequences with ideal correlation functions, we propose the concept of generalized difference sets and give their existence conditions.