Autocorrelation and Lower Bound on the 2-Adic Complexity of LSB Sequence of p-ary m-Sequence

The 2-adic complexity of a class of binary sequences with almost optimal autocorrelation

Pseudo-random sequences with good statistical property, such as low autocorrelation, high linear complexity and large 2-adic complexity, have been used in designing reliable stream ciphers. In this paper, we obtain the exact autocorrelation distribution of a class of sequence with three-level autocorrelation and analyze the 2-adic complexity of this sequence. Our results show that the 2-adic co...

Lower bounds of Copson type for the transpose of matrices on weighted sequence spaces

A Single Machine Sequencing Problem with Idle Insert: Simulated Annealing and Branch-and-Bound Methods

  In this paper, a single machine sequencing problem is considered in order to find the sequence of jobs minimizing the sum of the maximum earliness and tardiness with idle times (n/1/I/ETmax). Due to the time complexity function, this sequencing problem belongs to a class of NP-hard ones. Thus, a special design of a simulated annealing (SA) method is applied to solve such a hard problem. To co...

Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm

Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two non-negative ma-trices. Denote by Lv;p;q;B(A), the supremum of those L, satisfying the followinginequality:k Ax kv;B(q) L k x kv;B(p);where x 0 and x 2 lp(v;B) and also v = (vn)1n=1 is an increasing, non-negativesequence of real numbers. In this paper, we obtain a Hardy-type formula forLv;p;q;B(H), where H is the Hausdor matrix and 0 < q p 1. Also...

Lower bound on the 2-adic complexity of Ding-Helleseth generalized cyclotomic sequences of period $p^n$

Let p be an odd prime, n a positive integer and g a primitive root of pn. Suppose D (p) i = {g 2s + i|s = 0, 1, 2, · · · , (p−1)p n−1 2 }, i = 0, 1 is the generalized cyclotomic classes with Z∗ pn = D0 ∪D1. In this paper, we prove that Gauss periods based on D0 and D1 are both equal to 0 for n ≥ 2. As an application, we determine a lower bound on the 2-adic complexity of generalized cyclotomic ...