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The Reed–Solomon code is a [n, k, n − k + 1] code; in other words, it is a linear block code of length n (over F) with dimension k and minimum Hamming distance = + The Reed–Solomon code is optimal in the sense that the minimum distance has the maximum value possible for a linear code of size ( n , k ); this is known as the Singleton bound .
Codes in general are often denoted by the letter C, and a code of length n and of rank k (i.e., having n code words in its basis and k rows in its generating matrix) is generally referred to as an (n, k) code. Linear block codes are frequently denoted as [n, k, d] codes, where d refers to the code's minimum Hamming distance between any two code ...
The code RM(r, m) is a [,,]-code, that is, it is a linear code over a binary alphabet, has block length, message length (or dimension) k, and minimum distance. 0 1
Code 1: Respond to the call without lights or sirens. Some agencies may use the terms "upgrade" and "downgrade" to denote an increase or decrease in priority. For example, if a police unit is conducting a Code 1 response to an argument, and the dispatcher reports that the argument has escalated to a fight, the unit may report an "upgrade" to a ...
These codes were first designed by Robert Gallager in 1960. [5] Below is a graph fragment of an example LDPC code using Forney's factor graph notation. In this graph, n variable nodes in the top of the graph are connected to (n−k) constraint nodes in the bottom of the graph. This is a popular way of graphically representing an (n, k) LDPC
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