Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the decoding of 1-Fibonacci error correcting codes   The study of new error correcting codes has raised attention in the last
years, especially because of their use in cryptosystems that are resistant to
attacks running on quantum computers. In 2006, while leaving a more in-depth
analysis for future research, Stakhov gave some interesting ideas on how to
exploit Fibonacci numbers to derive an original error correcting code with a
compact representation. In this work we provide an explicit formula to compute
the redundancy of Stakhov codes, we identify some flows in the initial decoding
procedure described by Stakhov, whose crucial point is to solve some
non-trivial Diophantine equations, and provide a detailed discussion on how to
avoid solving such equations in some cases and on how to detect and correct
errors more efficiently.

36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc