Jim Byrnes Prometheus Inc (USA)
Shapiro Sequences, ReedMuller Codes, and Functional Equations We show how the Shapiro sequences can be
thought of as energy spreading second order ReedMuller codewords, i.e., members of RM(2,m), and in fact
why the (rows of the) Welti (PONS) matrix is a coset of the subgroup RM(1,m) of RM(2,m). This also leads
to interesting questions regarding functional equations satisfied by generating functions of blocks of binary
digits.
