WebIEEE Transactions on Information Theory. Periodical Home; Latest Issue; Archive; Authors; Affiliations; Home Browse by Title Periodicals IEEE Transactions on Information Theory Vol. 16, No. 6 On the weight structure of Reed-Muller codes Browse by Title Periodicals IEEE Transactions on Information Theory Vol. 16, No. 6 On the weight structure of Reed … Web1 de abr. de 1976 · 1. INTROLNJCTION Explicit weight enumerator formulas are known for the second-order Reed-Muller (RM) codes by Sloane and Berlekamp (1970), and for …
A note on the generalized Hamming weights of Reed–Muller codes
Web1 de nov. de 2024 · These results show that RM codes of such degrees are in some sense close to achieving capacity, and show that, information theoretically, such codes can handle a fraction of $1/2-o(1)$ random errors with high probability. This work proves new results on the ability of binary Reed-Muller codes to decode from random errors and erasures. We … Web9 de fev. de 2024 · Reed-Muller (RM) codes are among the oldest, simplest and perhaps most ubiquitous family of codes. They are used in many areas of coding theory in both electrical engineering and computer science. Yet, many of their important properties are still under investigation. This paper covers some of the recent developments regarding the … camping bolter ufer
On metric regularity of Reed-Muller codes
WebKeywords: polar codes; Reed–Muller codes; fractals; self-similarity 1. Introduction In his book on fractal geometry, Falconer characterizes a set Fas a fractal if it has some of the … WebOn the weight structure of Reed-Muller codes Abstract: The following theorem is proved. ... This theorem completely characterizes the codewords of the \nu th-order Reed-Muller code whose weights are less than twice the minimum weight and leads to the weight … Webpolar codes (Section III) and Reed-Muller codes (Section V). The self-similar structure of these sets is also suggested in [6], which shows that polar and Reed-Muller codes are decreasing monomial codes. While [6] focuses on finite blocklengths, we study the properties of F for infinite blocklengths, i.e., for n → ∞. first watch greensboro nc