On 2-(n^2,2n,2n-1) designs with three intersection numbers

Andrea Caggegi; Giovanni Falcone

On 2-(n^2,2n,2n-1) designs with three intersection numbers

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Abstract

The simple incidence structure D(A,2), formed by the points and the unordered pairs of distinct parallel lines of a finite affine plane A = (P,L) of order n > 4, is a 2 - (n 2,2n,2n-1) design with intersection numbers 0,4,n. In this paper, we show that the converse is true, when n > 5 is an odd integer.

Lingua originale	English
pagine (da-a)	33-40
Numero di pagine	8
Rivista	DESIGNS, CODES AND CRYPTOGRAPHY
Volume	43
Stato di pubblicazione	Published - 2007

All Science Journal Classification (ASJC) codes

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abstract = "The simple incidence structure D(A,2), formed by the points and the unordered pairs of distinct parallel lines of a finite affine plane A = (P,L) of order n > 4, is a 2 - (n 2,2n,2n-1) design with intersection numbers 0,4,n. In this paper, we show that the converse is true, when n > 5 is an odd integer.",

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AB - The simple incidence structure D(A,2), formed by the points and the unordered pairs of distinct parallel lines of a finite affine plane A = (P,L) of order n > 4, is a 2 - (n 2,2n,2n-1) design with intersection numbers 0,4,n. In this paper, we show that the converse is true, when n > 5 is an odd integer.

UR - http://hdl.handle.net/10447/27041

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JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

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On 2-(n^2,2n,2n-1) designs with three intersection numbers

Abstract

All Science Journal Classification (ASJC) codes

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