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- Chang-Min Cho, Ji-Youp Kim, Jong-Seon No
- ISIT
- 2014

- Chang-Min Cho, Ji-Youp Kim, Jong-Seon No
- IEICE Transactions
- 2015

SUMMARY In this paper, for an odd prime p and i = 0, 1, we investigate the cross-correlation between two decimated sequences, s(2t + i) and s(dt), where s(t) is a p-ary m-sequence of period p n − 1. Here we consider two cases of d, d = (p m +1) 2 2 with n = 2m, p m ≡ 1 (mod 4) and d = (p m +1) 2 p e +1 with n = 2m and odd m/e. The value distribution of the… (More)

- Ji-Youp Kim, Chang-Min Cho, Wijik Lee, Jong-Seon No
- IEICE Transactions
- 2015

SUMMARY Based on the work by Helleseth [1], for an odd prime p and an even integer n = 2m, the cross-correlation values between two decimated m-sequences by the decimation factors 2 and 4p n/2 − 2 are derived. Their cross-correlation function is at most 4-valued, that is, −1±p n/2 2 , −1+3p n/2 2 , −1+5p n/2 2. From this result, for p m 2 mod 3, a new… (More)

- Chang-Min Cho, Wijik Lee, Jong-Seon No, Young-Sik Kim
- IEICE Transactions
- 2017

In this paper, for an odd prime p, two positive integers n, m with n = 2m, and pm ≡ 1 (mod 4), we derive an upper bound on the magnitude of the cross-correlation function between two decimated sequences of a p-ary m-sequence. The two decimation factors are 2 and 2(pm + 1), and the upper bound is derived as 3 2 p m + 2 . In fact, those two sequences… (More)

- Chang-Min Cho, Ji-Youp Kim, Jong-Seon No
- 2014 IEEE International Symposium on Information…
- 2014

Let p be an odd prime and n = 2m with p<sup>m</sup> ≡ 1 (mod 4). In this paper, the cross-correlation distribution between two decimated sequences of a p-ary m-sequence, s(2t + i) with i ∈ {0, 1} and s(d't) with d' = 2d, d = (p<sup>m</sup>+1/2)<sup>2</sup> is determined.

Let p be an odd prime and n = 2m with p ≡ 1 (mod 4). In this paper, the cross-correlation distribution between two decimated sequences of a p-ary m-sequence, s(2t+ i) with i ∈ {0, 1} and s(d′t) with d′ = 2d, d = ( p +1 2 ) is determined.

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