A Fast Linearized Euclidean Algorithm for Decoding
Gabidulin Codesde
A Fast Linearized Euclidean Algorithm for Decoding Gabidulin Codes
Document type:
Konferenzbeitrag
Author(s):
Wachter, A.; Sidorenko, V.; Bossert, M.
Abstract:
We present a fast equivalent of the Extended
Euclidean Algorithm for linearized polynomials (LEEA).
Linearized polynomials are used to define rank metric
codes, e.g. Gabidulin codes. The proposed fast LEEA
accelerates decoding of Gabidulin codes since it solves
the key equation with sub-quadratic complexity. In
addition, we give a fast algorithm for calculating the
symbolic product.