Access the full text.
Sign up today, get DeepDyve free for 14 days.
D. Ray-Chaudhuri, R. Wilson (1975)
On $t$-designsOsaka Journal of Mathematics, 12
C. Stewart, Peter Walsh (1992)
A quantitative version of Runge's theorem on diophantine equationsActa Arithmetica, 62
D. Hilliker, E. Straus (1983)
Determination of bounds for the solutions to those binary Diophantine equations that satisfy the hypotheses of Runge’s theoremTransactions of the American Mathematical Society, 280
M. Hindry, J. Silverman (2000)
Diophantine Geometry: An Introduction
(1998)
Combinatorial Theory, 2nd edn
Dino Lorenzini, Ziqing Xiang (2016)
INTEGRAL POINTS ON VARIABLE SEPARATED CURVES
P. Delsarte (2011)
AN ALGEBRAIC APPROACH TO THE ASSOCIATION SCHEMES OF CODING THEORY
R. Stroeker (1981)
On the diophantine equation (2y2−3)2=x2(3x2−2) in connection with the existence of non-trivial tight 4-designs, 84
RJ Stroeker (1981)
On the diophantine equation $$(2y^2-3)^2 = x^2(3x^2-2)$$ ( 2 y 2 - 3 ) 2 = x 2 ( 3 x 2 - 2 ) in connection with the existence of non-trivial tight $$4$$ 4 -designsIndag. Math., 84
C. Peterson (1977)
On tight 6-designsOsaka Journal of Mathematics, 14
E. Bannai (1977)
ON TIGHT DESIGNSQuarterly Journal of Mathematics, 28
C. Runge
Ueber ganzzahlige Lösungen von Gleichungen zwischen zwei Veränderlichen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1887
Tom Edgar, Michael Spivey (2016)
Multiplicative Functions Generalized Binomial Coefficients, and Generalized Catalan NumbersJ. Integer Seq., 19
M Hall (1998)
Combinatorial Theory
P. Dukes, Jesse Short-Gershman (2011)
Nonexistence results for tight block designsJournal of Algebraic Combinatorics, 38
A. Bremner (1979)
A Diophantine equation arising from tight 4-designsOsaka Journal of Mathematics, 16
Tight t-designs are t-designs whose sizes achieve the Fisher type lower bound. We give a new necessary condition for the existence of nontrivial tight designs and then use it to show that there do not exist nontrivial tight 8-designs.
Journal of Algebraic Combinatorics – Springer Journals
Published: Jul 6, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.