Search results
Results From The WOW.Com Content Network
A generator matrix for a linear [,,]-code has format , where n is the length of a codeword, k is the number of information bits (the dimension of C as a vector subspace), d is the minimum distance of the code, and q is size of the finite field, that is, the number of symbols in the alphabet (thus, q = 2 indicates a binary code, etc.).
The Hadamard code is a linear code, and all linear codes can be generated by a generator matrix .This is a matrix such that () = holds for all {,}, where the message is viewed as a row vector and the vector-matrix product is understood in the vector space over the finite field.
Gilbert Strang demonstrates the Hadamard conjecture at MIT in 2005, using Sylvester's construction. In mathematics, a Hadamard matrix, named after the French mathematician Jacques Hadamard, is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal. In geometric terms, this means that each pair of rows in a ...
Hamming (7,4) In coding theory, Hamming (7,4) is a linear error-correcting code that encodes four bits of data into seven bits by adding three parity bits. It is a member of a larger family of Hamming codes, but the term Hamming code often refers to this specific code that Richard W. Hamming introduced in 1950.
Formally, a parity check matrix H of a linear code C is a generator matrix of the dual code, C ⊥. This means that a codeword c is in C if and only if the matrix-vector product Hc ⊤ = 0 (some authors [1] would write this in an equivalent form, cH ⊤ = 0.) The rows of a parity check matrix are the coefficients of the parity check equations. [2]
The first comprehensive draft of a grid layout for CSS was created by Phil Cupp at Microsoft in 2011 and implemented in Internet Explorer 10 behind a -ms-vendor prefix.The syntax was restructured and further refined through several iterations in the CSS Working Group, led primarily by Elika Etemad and Tab Atkins Jr.
W3Schools is a freemium educational website for learning coding online. [ 1][ 2] Initially released in 1998, it derives its name from the World Wide Web but is not affiliated with the W3 Consortium. [ 3][ 4][unreliable source] W3Schools offers courses covering many aspects of web development. [ 5] W3Schools also publishes free HTML templates.
The RFC specifies this code should be returned by teapots requested to brew coffee. [18] This HTTP status is used as an Easter egg in some websites, such as Google.com's "I'm a teapot" easter egg. [19] [20] [21] Sometimes, this status code is also used as a response to a blocked request, instead of the more appropriate 403 Forbidden. [22] [23]