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Date: 28-12-2020
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Date: 20-2-2020
697
Date: 24-4-2020
804
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A set of residues (mod ) such that every nonzero residue can be uniquely expressed in the form . Examples include (mod 7) and (mod 13). A necessary condition for a difference set to exist is that be of the form . A sufficient condition is that be a prime power. Perfect sets can be used in the construction of perfect rulers.
REFERENCES:
Guy, R. K. "Modular Difference Sets and Error Correcting Codes." §C10 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 118-121, 1994.
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