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Number theoretic consequences on the parameters of a symmetric design

✍ Scribed by K.T Arasu


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
200 KB
Volume
65
Category
Article
ISSN
0012-365X

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✦ Synopsis


Number theoretic results are used to prove that there exist only a lirtite number of k, for a given ~., satisfying the equation k(k -1) = )~(v -1), when v is of a special form.


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Exponential bounds on the number of desi
✍ David Clark; Dieter Jungnickel; Vladimir D. Tonchev 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB

## Abstract It is well‐known that the number of designs with the parameters of a classical design having as blocks the hyperplanes in __PG__(__n, q__) or __AG__(__n, q__), __n__≥3, grows exponentially. This result was extended recently [D. Jungnickel, V. D. Tonchev, Des Codes Cryptogr, published on