A note on the equation qq = n + lS

Eliahou, Shalom; Kervaire, Michel

Scientific article

English

A note on the equation qq = n + lS

ContributorsEliahou, Shalom; Kervaire, Michel

Published inJournal of statistical planning and inference, vol. 62, no. 1, p. 21-34

Publication date1997

Abstract

Let 0 be a cyclic difference list. We prove two theorems on the p-divisibility of the parameters of 0, where p is a prime number. The second result concerns p = 2 and extends to cyclic difference lists a well known result of Turyn for cyclic difference sets. Difference lists on the cyclic group of order 8 are studied in detail.

Keywords

Cyclic difference set
Cyclic difference list
Hall polynomial
Cyclotomic integer

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ELIAHOU, Shalom, KERVAIRE, Michel. A note on the equation qq = n + lS. In: Journal of statistical planning and inference, 1997, vol. 62, n° 1, p. 21–34.

Article (Published version)

Identifiers

PID : unige:12818

ISSN of the journal0378-3758

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A note on the equation qq = n + lS

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