Mathematics - Rings and Algebras, Computer Science - Information Theory, Computer Science - Symbolic Computation, 94B05, 94B35, 94B70, 11T71, 11T55, G.2, H.1.1, E.4

In this paper, we introduce a new family of codes relevent for rank and sum-rank metrics. These codes are based on an effective Chinese remainders theorem for linearized polynomials over finite fields. We propose a decoding algorithm for some instances of these codes.
Comment: 26 pages, 7 figures