Browsing by Subject "Heisenberg-Weyl Group"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item Open Access Understanding Operator Reed-Muller Codes Through the Weyl Transform(2018-04-25) Wang, WeiyaoThis paper expands the framework on the multidimensional generalizations of binary Reed-Muller code, operator Reed-Muller codes, where the codewords are projection operators through the Weyl Transform. The Weyl Transform of these operator Reed- Muller codes maps the operators to vectors, and it is isometric. This nice property gives new proofs for some known results and produce a simpler decoding algorithm. In particular, the property provides a different framework to analyze the distance spectrum of second operator Reed-Muller codes without using the Dickson’s Theorem.