Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast computation of elliptic curve isogenies in characteristic two   We propose an algorithm that calculates isogenies between elliptic curves
defined over an extension $K$ of $\mathbb{Q}_2$. It consists in efficiently
solving with a logarithmic loss of $2$-adic precision the first order
differential equation satisfied by the isogeny.
  We give some applications, especially computing over finite fields of
characteristic 2 isogenies of elliptic curves and irreducible polynomials, both
in quasi-linear time in the degree.

34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom