An inverse problem for finite Sidon sets

Abstract: Here is a direct problem for Sidon sets: Given a linear form

v a r p h i = c_{1} x_{1} + c d o t s + c_{h} x_{h}

, construct and describe sets

A

that are Sidon sets for

v a r p h i

. This paper considers an inverse problem for Sidon sets: Given a set

A

, determine the linear forms

v a r p h i

such that

A

is a Sidon set for

v a r p h i

.

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