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New nonbinary sequences with ideal two-level autocorrelation

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2 Author(s)
Helleseth, T. ; Dept. of Inf., Bergen Univ., Norway ; Guang Gong

We find new families of nonbinary sequences of period pn-1 with symbols from a finite field Fp for any prime p⩾3. The sequences have two-level ideal autocorrelation and are generalizations of previously found ternary sequences with ideal autocorrelation. Difference sets with parameters ((pn-1)/(p-1), (pn-1-1)/(p-1), (pn-2-1)/(p-1)) can also be derived from these sequences in a natural way

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Information Theory, IEEE Transactions on  (Volume:48 ,  Issue: 11 )