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Date: 10-9-2020
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Date: 17-10-2020
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Date: 31-8-2020
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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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