Hui Li

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cs.IT2013

Linear complexity of generalized cyclotomic sequences of order 4 over F_l

Yuhua Sun, Yang Yan, Fei Li +2

Generalized cyclotomic sequences of period pq have several desirable randomness properties if the two primes p and q are chosen properly. In particular,Ding deduced the exact formu…

cs.IT2011

The cross-correlation distribution of a $p$ -ary $m$ -sequence of period $p^{2 m} - 1$ and its decimation by $\frac{( p ^{m} + 1 ) ^{2}}{2 ( p ^{e} + 1 )}$

Yuhua Sun, Hui Li, Zilong Wang

Let $n = 2 m$ , $m$ odd, $e ∣ m$ , and $p$ odd prime with $p \equiv 1 mod 4$ . Let $d = \frac{( p ^{m} + 1 ) ^{2}}{2 ( p ^{e} + 1 )}$ . In this paper, we study the cross-correlation between a $p…

cs.IT2011

On the Cross-Correlation of a Ternary $m$ -sequence of Period $3^{4 k} - 1$ and Its Decimated Sequence by $\frac{( 3 ^{2 k} + 1 ) ^{2}}{20}$

Yuhua Sun, Zilong Wang, Hui Li

Let $d = \frac{( 3 ^{2 k} + 1 ) ^{2}}{20}$ , where $k$ is an odd integer. We show that the magnitude of the cross-correlation values of a ternary $m$ -sequence ${s_{t}}$ of period $3^{4k}-1…

cs.IT2011

$p$ -ary sequences with six-valued cross-correlation function: a new decimation of Niho type

Yuhua Sun, Hui Li, Zilong Wang +1

For an odd prime $p$ and $n = 2 m$ , a new decimation $d = \frac{( p ^{m} - 1 ) ^{2}}{2} + 1$ of Niho type of $m$ -sequences is presented. Using generalized Niho's Theorem, we show that the cross…

Linear complexity of generalized cyclotomic sequences of order 4 over F_l

The cross-correlation distribution of a p-ary m-sequence of period p2m−1 and its decimation by 2(pe+1)(pm+1)2​

On the Cross-Correlation of a Ternary m-sequence of Period 34k−1 and Its Decimated Sequence by 20(32k+1)2​

p-ary sequences with six-valued cross-correlation function: a new decimation of Niho type

The cross-correlation distribution of a $p$ -ary $m$ -sequence of period $p^{2 m} - 1$ and its decimation by $\frac{( p ^{m} + 1 ) ^{2}}{2 ( p ^{e} + 1 )}$

On the Cross-Correlation of a Ternary $m$ -sequence of Period $3^{4 k} - 1$ and Its Decimated Sequence by $\frac{( 3 ^{2 k} + 1 ) ^{2}}{20}$

$p$ -ary sequences with six-valued cross-correlation function: a new decimation of Niho type