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• W1595239607 abstract "We consider point sets in the affine plane Fq where each Euclidean distance of two points is an element of Fq . These sets are called integral point sets and were originally defined in m-dimensional Euclidean spaces Em. We determine their maximal cardinality I(Fq , 2). For arbitrary commutative rings R instead of Fq or for further restrictions as no three points on a line or no four points on a circle we give partial results. Additionally we study the geometric structure of the examples with maximum cardinality." @default.
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• W1595239607 date "2007-05-01" @default.
• W1595239607 modified "2023-09-22" @default.
• W1595239607 title "Integral point sets over finite fields" @default.
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