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Experimental Mathematics Volume 3, 1994 - Issue 2
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Original Articles

There Are No New Homometric Golomb Ruler Pairs with 12 Marks or Less

Eric Postpischil Digital Equipment Corporation, 6 Hamlett Drive, Nashua, NH, 03062 E-mail: [email protected]
&
Peter Gilbert Digital Equipment Corporation, 291 Merriam Avenue, Leominster, MA, 01453
Pages 147-152 | Published online: 03 Apr 2012
 
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Abstract

We describe an exhaustive search that proves the nonex istence of homometric Golomb ruler pairs with 7 to 12 marks. We also give a two-dimensional geometric model for the known family of six-mark homometric ruler pairs.

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