On the cylinder conjecture

Sam Mattheus, Jan De Beule, Jeroen Demeyer, Peter Sziklai

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In this paper, we associate a weight function with a set of points satisfying the conditions of the cylinder conjecture. Then we derive properties of this weight function using the Rédei polynomial of the point set. Using additional assumptions on the number of non-determined directions, together with an exhaustive computer search for weight functions satisfying particular properties, we prove a relaxed version of the cylinder conjecture for p≤ 13. This result also slightly refines a result of Sziklai on point sets in AG (3 , p).

Original languageEnglish
Pages (from-to)879-893
Number of pages15
JournalDesigns, Codes and Cryptography
Issue number4
Publication statusPublished - 15 Apr 2019


  • Affine space
  • Cylinder conjecture
  • Polynomial method


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