Kwang Ho Kim

activity

20182023

x^{2^{k} + 1} + x + a = 0

F_{2^{n}}

with

g cd (n, k) = 1

4 citations · 9 across the 10 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

cs.IT2019★ 2 cited

Solving $X^{q + 1} + X + a = 0$ over Finite Fields

Kwang Ho Kim, Junyop Choe, Sihem Mesnager

Solving the equation $P_{a} (X) := X^{q + 1} + X + a = 0$ over finite field $\GF{Q}$, where $Q = p^{n}, q = p^{k}$ and $p$ is a prime, arises in many different contexts including finite geometry, the i…

cs.IT2019★ 2 cited

Solutions of $x^{q^{k}} + \dots + x^{q} + x = a$ in $GF 2^{n}$

Kwang Ho Kim, Jong Hyok Choe, Dok Nam Lee +2

Though it is well known that the roots of any affine polynomial over a finite field can be computed by a system of linear equations by using a normal base of the field, such solvin…

cs.IT2019★ 4 cited

Solving $x^{2^{k} + 1} + x + a = 0$ in $F_{2^{n}}$ with $g cd (n, k) = 1$

Kwang Ho Kim, Sihem Mesnager

Let $N_{a}$ be the number of solutions to the equation $x^{2^{k} + 1} + x + a = 0$ in $\GF {n}$ where $g cd (k, n) = 1$ . In 2004, by Bluher \cite{BLUHER2004} it was known that possible values of $…

Solving Xq+1+X+a=0 over Finite Fields

Solutions of xqk+⋯+xq+x=a in GF2n

Solving x2k+1+x+a=0 in F2n​ with gcd(n,k)=1

Solving $X^{q + 1} + X + a = 0$ over Finite Fields

Solutions of $x^{q^{k}} + \dots + x^{q} + x = a$ in $GF 2^{n}$

Solving $x^{2^{k} + 1} + x + a = 0$ in $F_{2^{n}}$ with $g cd (n, k) = 1$