Two-weight ternary codes and the equation \(y^2=4 \times 3^\alpha+13\)

DOI10.1016/0022-314X(83)90042-2zbMath0517.94012MaRDI QIDQ1053659

Andrew Bremner, Patrick Morton, John Wolfskill, Robert Calderbank, Philip J. Hanlon

Publication date: 1983

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

strongly regular graphdiophantine equationtwo-weight code

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Combinatorial codes (94B25)

Related Items (7)

The diophantine equation \(x^ 2=4q^{a/2}+4q+1\), with an application to coding theory ⋮ Optimal and near optimal configurations on lattices and manifolds. Abstracts from the workshop held August 19--25, 2012. ⋮ On a family of strongly regular graphs with \(\lambda = 1\) ⋮ On the diophantine equation \(x^ 2-D=4p^ n\) ⋮ On the Diophantine equation \(y^2-D=2^k\) ⋮ A note on the Diophantine equation \(x^2 =4p^n -4p^m +\ell^2\) ⋮ On the Diophantine equation \(y^2=4q^n+4q+1\)

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• The Integer Points on Three Related Elliptic Curves
• Error Detecting and Error Correcting Codes
• On two theorems of Gelfond and some of their applications
• Binary Codes Which Are Ideals in the Group Algebra of an Abelian Group
• A survey of perfect codes

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