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Crossword. An American-style crossword grid layout. A crossword (or crossword puzzle) is a word game consisting of a grid of black and white squares, into which solvers enter words or phrases ("entries") crossing each other horizontally ("across") and vertically ("down") according to a set of clues.
crossword security alarm. In 1944, codenames related to the D-Day plans appeared as solutions in crosswords in the British newspaper, The Daily Telegraph, which the British Secret Services initially suspected to be a form of espionage.
Suppose that () is a code word with fewer than non-zero terms. Then Then p ( x ) = b 1 x k 1 + ⋯ + b d − 1 x k d − 1 , where k 1 < k 2 < ⋯ < k d − 1 . {\displaystyle p(x)=b_{1}x^{k_{1}}+\cdots +b_{d-1}x^{k_{d-1}},{\text{ where }}k_{1}<k_{2}<\cdots <k_{d-1}.}
Add a letter and crack the code! Add a letter and crack the code!
Reed–Muller codes are linear block codes that are locally testable, locally decodable, and list decodable. These properties make them particularly useful in the design of probabilistically checkable proofs . Traditional Reed–Muller codes are binary codes, which means that messages and codewords are binary strings.
In mathematical terms, Hamming codes are a class of binary linear code. For each integer r ≥ 2 there is a code-word with block length n = 2r − 1 and message length k = 2r − r − 1. Hence the rate of Hamming codes is R = k / n = 1 − r / (2r − 1), which is the highest possible for codes with minimum distance of three (i.e., the minimal ...
Code word may refer to: Code word (communication), an element of a standardized code or protocol; Code word (figure of speech), designed to convey a predetermined meaning to a receptive audience, while remaining inconspicuous to others Procedure word, in voice communication
One method is to pick codewords in order from most probable to least probable symbols, picking each codeword to be the lexicographically first word of the correct length that maintains the prefix-free property.
More formally, a (,,)-locally decodable code encodes an -bit message to an -bit codeword () such that any bit of the message can be recovered with probability by using a randomized decoding algorithm that queries only bits of the codeword (), even if up to locations of the codeword have been corrupted.
Code () = (,, …,), which is the tuple of (binary) codewords, where is the codeword for , {,, …,}. Goal . Let L ( C ( W ) ) = ∑ i = 1 n w i length ( c i ) {\textstyle L\left(C\left(W\right)\right)=\sum _{i=1}^{n}{w_{i}\operatorname {length} \left(c_{i}\right)}} be the weighted path length of code C {\displaystyle C} .