کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582777 | 1630372 | 2015 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The cross correlation distribution of a p-ary m -sequence of period pm−1pm−1 and its decimated sequences by (pk+1)(pm+1)/4(pk+1)(pm+1)/4
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let p be an odd prime, m and k be positive integers such that s=m/es=m/e is odd and k/ek/e is even, where e=gcd(m,k)e=gcd(m,k). In this paper, the value distribution of the exponential sum ∑x∈Fpmχ(αx(pk+1)(pm+1)/4+βx)∑x∈Fpmχ(αx(pk+1)(pm+1)/4+βx) is completely determined with pm≡1(mod4). As applications, when pm≡1(mod4), the distribution of the cross correlation between a p-ary m -sequence (st)(st) of period pm−1pm−1 and its decimated sequence (sdt)(sdt) with d=(pk+1)(pm+1)/4d=(pk+1)(pm+1)/4 is determined. The sequence family FF is constructed and the cross correlation distribution among sequences in the family FF is also determined. Our result shows that the maximal magnitude of the correlation value is low when e=1e=1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 31, January 2015, Pages 137–161
Journal: Finite Fields and Their Applications - Volume 31, January 2015, Pages 137–161
نویسندگان
Hua Liang, Yuansheng Tang,