Qualified residue difference sets with zero
نویسندگان
چکیده
منابع مشابه
Twelfth Power Qualified Residue Difference Sets
Qualified residue difference sets of power n are known to exist for n = 2, 4, 6, as do similar sets that include the zero element, while both classes of set are known to be nonexistent for n = 8 and n = 10. Both classes of set are proved nonexistent for n = 12.
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Qualified difference sets (QDS) composed of unions of cyclotomic classes are discussed. An exhaustive computer search for such QDS and modified QDS that also possess the zero residue has been conducted for all powers n = 4, 6, 8 and 10. Two new families were discovered in the case n = 8 and some new isolated systems were discovered for n = 6 and n = 10. 2000 Mathematics subject classification: ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1998
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(97)00072-1