Optimal large linear complexity frequency hop** patterns derived from polynomial residue class rings

P Udaya, MU Siddiqi - IEEE Transactions on Information …, 1998 - ieeexplore.ieee.org
We construct new sequences over finite rings having optimal Hamming correlation
properties. These sequences are useful in frequency hop** multiple-access (FHMA) …

Constructions of quadratic bent functions in polynomial forms

NY Yu, G Gong - IEEE Transactions on Information Theory, 2006 - ieeexplore.ieee.org
In this correspondence, the constructions and enumerations of all bent functions
represented by a polynomial form of f (x)=/spl Sigma//sub i= 1//sup n/2-1/c/sub i/Tr (x/sup 1+ …

Generalized Kasami sequences: the large set

X Zeng, JQ Liu, L Hu - IEEE Transactions on Information …, 2007 - ieeexplore.ieee.org
In this correspondence, new binary sequence families F k of period 2 n-1 are constructed for
even n and any k with gcd (k, n)= 2 if n/2 is odd or gcd (k, n)= 1 if n/2 is even. The distribution …

A new class of bent and hyper-bent Boolean functions in polynomial forms

S Mesnager - Designs, Codes and Cryptography, 2011 - Springer
Bent functions are maximally nonlinear Boolean functions and exist only for functions with
even number of inputs. This paper is a contribution to the construction of bent functions over …

New families of binary sequences with low correlation

SH Kim, JS No - IEEE Transactions on Information Theory, 2003 - ieeexplore.ieee.org
For a positive integer, n, new families, S and U, of binary sequences of period 2/sup n/-1 with
low correlations are proposed, where for some positive integer, e, S is defined for odd n/e …

On quadratic bent functions in polynomial forms

H Hu, D Feng - IEEE transactions on information theory, 2007 - ieeexplore.ieee.org
PubTeX output 2007.06.11:1507 Page 1 2610 IEEE TRANSACTIONS ON INFORMATION
THEORY, VOL. 53, NO. 7, JULY 2007 V. CONCLUDING REMARKS In this correspondence, one …

A new binary sequence family with low correlation and large size

NY Yu, G Gong - IEEE transactions on information theory, 2006 - ieeexplore.ieee.org
For odd n= 2l+ 1 and an integer/spl rho/with 1/spl les//spl rho//spl les/l, a new family S/sub
o/(/spl rho/) of binary sequences of period 2/sup n/-1 is constructed. For a given/spl rho …

Optimal and Suboptimal Quadriphase Sequences Derived from Maximal Length Sequences over Z _ {{\bf 4}}

P Udaya, MU Siddiqi - Applicable Algebra in Engineering, Communication …, 1998 - Springer
The paper presents families of quadriphase sequences derived from maximal length
sequences over\bf Z _4 having good correlation properties. These are:(i) families of …

Further crosscorrelation properties of sequences with the decimation factor

Y **a, X Zeng, L Hu - Applicable Algebra in Engineering, Communication …, 2010 - Springer
For an odd integer n≥ 3, an odd prime p≡ 3 (mod4) and d= p^ n+ 1 p+ 1-p^ n-1 2, the value
distribution of the exponential sum ∑ x ∈ F _ p^ n^\,* ω^ Tr^ n_1 (x-γ x^ d)\,(γ ∈ F _ p^ n^*) …

Generalized GMW quadriphase sequences satisfying the Welch bound with equality

P Udaya, MU Siddiqi - Applicable Algebra in Engineering, Communication …, 2000 - Springer
This paper gives new families of quadriphase sequences obtained from large linear
complexity sequences over Z 4 by making use of generalized permutation monomials over …