×

On rational bases of subspaces of \(F((D))^ n\). (English) Zbl 0861.94025

It is shown that there exist subspaces of the vector space of \(n\)-dimensional row vectors over the field of formal Laurent series which do not have rational bases. This result has applications in the theory of convolutional codes.

MSC:

94B10 Convolutional codes
PDFBibTeX XMLCite