On the Weight Spectrum of the Reed-Muller Codes RM(7,14)
Abstract
In this paper, we attempt to find the weight spectrum of the Reed-Muller codes RM(m-7,m). In the process, we tried to fully determine the weight spectrum of RM(7,14). We found almost all of the weights, except for a select number of them. The remaining eight missing weights are necessary to give a positive answer to an open question on the weight spectrum of RM(m-c,m) for c=7.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.