Third Update to the Order 7 de Bruijn Weight Class Distribution

Abstract

Order n de Bruijn sequences are the period 2n binary sequences from n-stage feedback shift registers. The de Bruijn sequences have good randomness and complexity properties. The number of de Bruijn sequences in a weight class of the order n generating functions is unknown for all but the smallest n. This paper posts the final results for weight class 47 and intermediate results for weight class 21 of the order 7 de Bruijn sequences.