computer science. Reed–Muller codes generalize the Reed–Solomon codes and the Walsh–Hadamard code. Reed–Muller codes are linear block codes that are locally...

information theory and coding theory, Reed–Solomon codes are a group of error-correcting codes that were introduced by Irving S. Reed and Gustave Solomon...

Reed–Muller may refer to: Reed–Muller code Reed–Muller expansion This disambiguation page lists articles associated with the title Reed–Muller. If an internal...

Locally decodable codes are especially useful for data transmission over noisy channels. The Hadamard code (a special case of Reed Muller codes) was used in...

error-detecting codes known as Reed–Solomon codes in collaboration with Gustave Solomon. He also co-invented the Reed–Muller code. Reed made many contributions...

called the Hadamard code and it is the same as the first order Reed–Muller code over the binary alphabet. Normally, Hadamard codes are based on Sylvester's...

occurred. Coding theory Golay code Hamming bound Hamming distance Low-density parity-check code Reed–Muller code Reed–Solomon error correction Turbo code See...

correcting code Reed–Solomon error correction Reed–Muller code Repeat-accumulate code Repetition codes, such as Triple modular redundancy Spinal code, a rateless...

codes, of which BCH codes are an example Reed–Solomon codes Reed–Muller code Algebraic geometry code Binary Goppa code Low-density parity-check codes...

the form of (sub-optimally decoded) convolutional codes and Reed–Muller codes. The Reed–Muller code was well suited to the noise the spacecraft was subject...

Instead of using a repetition code, a [32, 6, 16] Hadamard code was used, which is also a 1st-order Reed-Muller code. Errors of up to seven bits per...

codes, Hadamard codes, Expander codes, Golay codes, Reed–Muller codes and Polar codes. These examples also belong to the class of linear codes, and hence they...

In Boolean logic, a Reed–Muller expansion (or Davio expansion) is a decomposition of a Boolean function. For a Boolean function f ( x 1 , … , x n ) :...

codes (e.g., BCH codes) Reed–Solomon codes Algebraic geometric codes Reed–Muller codes Perfect codes Locally recoverable code Block codes are tied to the...

Mexico. Muller C-element Reed–Muller code Reed–Muller expansion Muller's method (an established root finding method in numerical analysis) Muller automaton...

Reed–Muller code that had been used to transmit the black and white Mariner images was replaced with the much higher data rate Golay (24,12,8) code....

almost directly be used as an error-correcting code using a Hadamard code (generalized in Reed–Muller codes), and are also used in balanced repeated replication...

to QR codes. Reed Solomon Codes for Coders – an elaborate tutorial on Wikiversity, covering both QR code structure and the Reed Solomon codes used to...

variable-length code is uniquely decodable 1954 – Irving S. Reed and David E. Muller propose Reed–Muller codes 1955 – Peter Elias introduces convolutional codes 1957...

of channel coding include: Parity checks Hamming code Reed-Muller code Reed-Solomon code Turbo coding See main article Line code Line coding consists of...

vectors of) lines of π. When π = AG(2, q) the geometric code generated is the q-ary Reed-Muller Code. Affine spaces can be defined in an analogous manner...

at P b ( E ) ≈ 10 − 5 {\displaystyle P_{b}(E)\approx 10^{-5}} for Reed–Muller codes of length n ≤ 64 {\displaystyle n\leq 64} : In the bandwidth-limited...

dimensions or length of messages of an error-correcting Reed-Muller code made of 64 block codes. The Global Positioning System (GPS) works on a ten-digit...

Binary Golay code Cyclic redundancy check Eugene Prange Reed–Muller code Ternary Golay code Van Lint 1998, p. 76 Ryan & Lin 2009, pp. 108–109 Van Lint...

"Magic-State Distillation in All Prime Dimensions Using Quantum Reed-Muller Codes". Physical Review X. 2 (4): 041021. arXiv:1205.3104. Bibcode:2012PhRvX...

Double reed Quadruple reed Reed pipe, a type of organ pipe, as distinct from a flue pipe Reid (disambiguation) Reed-Muller (disambiguation) Justice Reed (disambiguation)...

codes for lossless data compression. Irving S. Reed and David E. Muller proposing Reed–Muller codes in 1954. The 1960 proposal of Reed–Solomon codes....

especially convenient way of expressing the Reed–Muller RM (d, r) code in terms of the Reed–Muller codes RM (d − 1, r) and RM (d − 1, r − 1). The bar...

{\displaystyle 2^{m-1}-2^{m/2-1+r}} The code sits between the Kerdock code and the second-order Reed–Muller codes. More precisely, we have K ( m ) ⊆ D G...

code works by including carefully crafted redundancy with the stored (or transmitted) data. Examples include Hamming codes, Reed–Solomon, Reed–Muller...