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 …

In this work we present explicit classes of maximal and minimal Artin–Schreier type curves
over finite fields having odd characteristics. Our results include the proof of Conjecture 5.9 …

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 …

Explicit maximal and minimal curves of Artin–Schreier type from quadratic forms |
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arXiv:2112.02860v1 [math.NT] 6 Dec 2021 Page 1 arXiv:2112.02860v1 [math.NT] 6 Dec 2021
ZETA FUNCTIONS OF QUADRATIC ARTIN-SCHREIER CURVES IN CHARACTERISTIC TWO …

Let \mathbbF_q be a finite field of characteristic 2, not containing \mathbbF_4. Let k≥ 2 be
an even integer. We give a full classification of quadratic forms over \mathbbF_q^k of …

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 …

For an odd prime p and an even integer n with gcd (n, p)> 1, we consider quadratic functions
from Fpn to Fp of codimension k. For various values of k, we obtain classes of quadratic …

Exponential sums of quadratic forms over finite fields have many applications to various
areas such as coding theory and cryptography. As an example to these applications, there is …