Chapter 4 PSEUDORANDOM SEQUENCES Page 1 Chapter 4 PSEUDORANDOM
SEQUENCES Alev Topuzoglu and Arne Winterhof 1. Introduction Sequences, which are …

Z ba f. u/du D F. b/F. a/;(4.1) where the function F is an antiderivative of the integrand f. What
you are often not told is that there are many cases where F cannot be expressed in finite …

Carlitz rank and index are two important measures for the complexity of a permutation polynomial
f ( x ) over the finite field F q . In particular, for cryptographic applications we need both, …

Et le quatrième mystère, non des moindres, est celui de la structure mathématique du
monde: pourquoi et quand apparaît-elle, comment peut-on la modéliser, et comment le …

< end1 align∗ l < centerline 1 [1 7 l ut on sub period Let g to the power of open parenthesis
kp to the power of n closing parenthesis bet sub eh sm ll sub se ts uchth ba s.. up e sub boun …

Hu introduced a simple method to compute the 2-adic complexity of any periodic binary
sequence with ideal two-level autocorrelation. We extend this approach to some other …

Let. A=[a0, a1,..., a𝓁− 1]∈ C𝓁 be a finite complex sequence of length. 𝓁 periodically
continued with period. 𝓁, that is,. aj+𝓁= aj, j= 0, 1,... The periodic autocorrelation function. P …

The linear complexity of a sequence is not only a measure for the unpredictability and thus
suitability for cryptography but also of interest in information theory because of its close …

Consider an extension field F q m =F q (α) of the finite field F q . Davenport proved that the
set F q +α contains at least one primitive element of F q m if q is sufficiently large with respect …

Equation: F sub q.. by open parenthesis 2 closing parenthesis sm sub u Case 1 oqwc hi n
Case 2 vhm N sum minus 1 n= 0 xo nent al sums.. aret to the power of ihl enap pied tt hea to …