Twenty-fourth power residue difference sets

Author:
Ronald J. Evans

Journal:
Math. Comp. **40** (1983), 677-683

MSC:
Primary 12C20; Secondary 05B10, 10G05, 10L05

DOI:
https://doi.org/10.1090/S0025-5718-1983-0689481-4

MathSciNet review:
689481

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Abstract | References | Similar Articles | Additional Information

Abstract: It is proved that if *p* is a ${\text {prime}} \equiv 1\;\pmod 24$ such that either 2 is a cubic residue or 3 is a quartic residue $\pmod p$, then the twenty-fourth powers $\pmod p$ do not form a difference set or a modified difference set.

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*Math. Comp.*, v. 35, 1980, pp. 1036-1038; UMT file

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Additional Information

Keywords:
Power residue difference sets,
cyclotomic numbers,
Gauss and Jacobi sums

Article copyright:
© Copyright 1983
American Mathematical Society