The cross-correlation distribution of a $p$-ary $m$-sequence of period $p^{2k}-1$ and its decimated sequence by $\frac{(p^{k}+1)^{2}}{2(p^{e}+1)}$
نویسندگان
چکیده
منابع مشابه
Cross-Correlation Distribution of p-Ary m-Sequence and Its p+1 Decimated Sequences with Shorter Period
In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p + 1 distinct decimated sequences s(dt + l) is derived. For an odd prime p, an even integer n, and d = pk + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period pn − 1 because gcd(d, pn − 1) = p + 1. The maximum magnitude of the...
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For a prime p ≡ 1 mod 4, an odd integer n, and d = p +1 p+1 + p −1 2 , we investigate the cross-correlation values of p-ary m-sequence m(t) of period p − 1 and its decimated m-sequence m(dt). It is shown that the crosscorrelation function between m(t) and m(dt) takes the values in { −1,−1± p,−1± 1+ √ p 2 p,−1± 1− √ p 2 p,−1± p−1 2 p } .
متن کاملThe cross-correlation distribution of a $p$-ary $m$-sequence of period $p^{2m}-1$ and its decimation by $\frac{(p^{m}+1)^{2}}{2(p^{e}+1)}$
Let n = 2m, m odd, e|m, and p odd prime with p ≡ 1 mod 4. Let d = (p +1) 2(pe+1) . In this paper, we study the cross-correlation between a p-ary m-sequence {st} of period p −1 and its decimation {sdt}. Our result shows that the cross-correlation function is six-valued and that it takes the values in {−1, ±p − 1, 1±p e 2 2 p − 1, (1−p ) 2 p − 1}. Also, the distribution of the cross-correlation i...
متن کاملCross-Correlation Distribution of p-ary m-Sequence
For an odd prime p, an even integer n, and d = p + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period p − 1 since gcd(d, p − 1) = p + 1. In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p+1 distinct decimated sequences s(dt+l) is derived. The maximum magnitude of their cross-...
متن کاملOn the Cross-Correlation of a $p$-ary m-Sequence and its Decimated Sequences by $d=\frac{p^n+1}{p^k+1}+\frac{p^n-1}{2}$
On the Cross-Correlation of a p-ary m-Sequence and its Decimated Sequences by d =
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ژورنال
عنوان ژورنال: Advances in Mathematics of Communications
سال: 2013
ISSN: 1930-5346
DOI: 10.3934/amc.2013.7.409