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Spence Series of difference sets exist only in GF(p^{; ; ; s+1}; ; ; ) where p=3 (CROSBI ID 161291)
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Tabak, Kristijan
Spence Series of difference sets exist only in GF(p^{; ; ; s+1}; ; ; ) where p=3 // Mathematica Macedonica, 5 (2007), 83-86
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Tabak, Kristijan
engleski
Spence Series of difference sets exist only in GF(p^{; ; ; s+1}; ; ; ) where p=3
Spence difference set series are part of classical, major step is using GF(3^{; ; ; s+1}; ; ; ). The question, for which we give an answer, is could it be constructed for some other prime p. Using group ring algebra we prove that the only option for Spence-type construction is p = 3.
difference set; group ring; Spence series of difference sets.
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