Skew Reed Muller Codes
Prof. Felix Ulmer
University of Rennes 1
Skew Reed Muller codes
(Joint work with Willi Geiselmann)
We extend the classical Reed Muller codes by using non commutative iterated skew polynomial rings instead of classical commutative polynomial rings. This involves the construction of iterated skew polynomial rings and the definition of the notion of points and evaluation at those points for iterated skew polynomials.