More on the existence of small quasimultiples of affine and projective planes of arbitrary order | Zendy

Ling Alan C. H. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

More on the existence of small quasimultiples of affine and projective planes of arbitrary order

Author(s) -

Ling Alan C. H.

Publication year - 2001

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.1006

Subject(s) - mathematics , combinatorics , affine transformation , projective plane , order (exchange) , projective test , integer (computer science) , discrete mathematics , pure mathematics , geometry , computer science , finance , economics , correlation , programming language

The functions a(n) and p(n) are defined to be the smallest integer λ for which λ‐fold quasimultiples affine and projective planes of order n exist. It was shown by Jungnickel [J. Combin. Designs 3 (1995), 427–432] that a(n),p(n) < n 10 for sufficiently large n . In the present paper, we prove that a(n),p(n) < n 3 . © 2001 John Wiley & Sons, Inc. J Combin Designs 9: 182–186, 2001

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research