[HTML][HTML] Quadratic functions and maximal Artin–Schreier curves

N Anbar, W Meidl - Finite Fields and Their Applications, 2014 - Elsevier
For an odd prime p and an even integer n with gcd⁡(n, p)= 1, we consider quadratic
functions from F pn to F p of codimension k. For various values of k, we obtain classes of …

More on quadratic functions and maximal Artin–Schreier curves

N Anbar, W Meidl - Applicable Algebra in Engineering, Communication …, 2015 - Springer
For an odd prime pp and an even integer nn with\gcd (n, p)> 1 gcd (n, p)> 1, we consider
quadratic functions from\mathbb F _ p^ n F pn to\mathbb F _p F p of codimension k k. For …

The dark side of SOA testing: Towards testing contemporary SOAs based on criticality metrics

P Leitner, S Schulte, S Dustdar, I Pill… - … on Principles of …, 2013 - ieeexplore.ieee.org
Service-Oriented Architectures (SOAs) have widely been accepted as the standard way of
building large-scale, heterogeneous enterprise IT systems. In this paper, we explore the …

Encoding of Multilevel S-Threshold Functions.

J Pantović, S Ghilezan, J Žunić - Journal of Multiple-Valued …, 2016 - search.ebscohost.com
We consider the encoding problem for the multilevel S-threshold functions. Multilevel S-
threshold functions correspond to partitions of a finite-dimensional integer grid into a given …

Idempotent and p-potent quadratic functions: distribution of nonlinearity and co-dimension

N Anbar, W Meidl, A Topuzoğlu - Designs, Codes and Cryptography, 2017 - Springer
Abstract The Walsh transform QQ^ of a quadratic function Q:\mathbb F _ p^ n →\mathbb F _p
Q: F pn→ F p satisfies| Q (b)| ∈ {0, p^ n+ s 2\}| Q^(b)|∈ 0, pn+ s 2 for all b ∈\mathbb F _ p …

Some enumeration results on trace forms of low radical over finite fields of characteristic two

S Roy - Finite Fields and Their Applications, 2022 - Elsevier
We introduce some enumeration results for quadratic forms written as trace forms with very
low dimension of radical for different types of degrees of extension over F 2. This work …

On the nonlinearity of idempotent quadratic functions and the weight distribution of subcodes of Reed-Muller codes

N Anbar, W Meidl, A Topuzo - The 9th International Workshop on …, 2015 - inria.hal.science
The Walsh transform\hat {Q} of a quadratic function Q: F2^ n→ F2 satisfies|\hat {Q (b)}|∈{0, 2
n+ s 2} for all b∈ F_ {2^ n}, where 0≤ s≤ n− 1 is an integer depending on Q. In this article …

Spectra of a class of quadratic functions: Average behaviour and counting functions

C Kaşıkcı, W Meidl, A Topuzoğlu - Cryptography and Communications, 2016 - Springer
Abstract The Walsh transform Q ̂ Q of a quadratic function Q: F pn→ F p Q:F_p^n→F_p
satisfies| Q ̂|∈ 0, pn+ s 2 |Q|∈{0,p^n+s2\} for an integer 0≤ s≤ n− 1. We study quadratic …

Characterisation and enumeration of a class of semi–bent quadratic Boolean functions

N Koçak, O Koçak, F Özbudak… - International Journal of …, 2015 - inderscienceonline.com
In this paper, we consider semi–bentness of quadratic Boolean functions defined for even n
and give the characterisation of these functions. Up to our knowledge, semi–bentness of this …

[PDF][PDF] Different method for counting the number of Quadratic functions with prescribed spectra

A Ganguly, S Roy - American Journal of Applied …, 2020 - ajamc.smartsociety.org
Different method for counting the number of Quadratic functions with prescribed spectra Page 1
Different method for counting the number of Quadratic functions with prescribed spectra Arnab …