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Circulant weighing designs

Journal Article


Abstract


  • Algebraic techniques are employed to obtain necessary conditions for the existence of certain families of circulant weighing designs. As an application we rule out the existence of many circulant weighing designs. In particular, we show that there does not exist a circulant weighing matrix of order 43 for any weight. We also prove two conjectures of Yosef Strassler. © 1996 John Wiley & Sons, Inc.

Publication Date


  • 1996

Scopus Eid


  • 2-s2.0-0042893897

Web Of Science Accession Number


Start Page


  • 439

End Page


  • 447

Volume


  • 4

Issue


  • 6

Abstract


  • Algebraic techniques are employed to obtain necessary conditions for the existence of certain families of circulant weighing designs. As an application we rule out the existence of many circulant weighing designs. In particular, we show that there does not exist a circulant weighing matrix of order 43 for any weight. We also prove two conjectures of Yosef Strassler. © 1996 John Wiley & Sons, Inc.

Publication Date


  • 1996

Scopus Eid


  • 2-s2.0-0042893897

Web Of Science Accession Number


Start Page


  • 439

End Page


  • 447

Volume


  • 4

Issue


  • 6