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A natural concept for a decoding algorithm for concatenated codes is to first decode the inner code and then the outer code. For the algorithm to be practical it must be polynomial-time in the final block length. Consider that there is a polynomial-time unique decoding algorithm for the outer code.
The block length of a block code is the number of symbols in a block. Hence, the elements c {\displaystyle c} of Σ n {\displaystyle \Sigma ^{n}} are strings of length n {\displaystyle n} and correspond to blocks that may be received by the receiver.
In standard coding theory notation for block codes, the Hadamard code is a [,,]-code, that is, it is a linear code over a binary alphabet, has block length, message length (or dimension) , and minimum distance /. The block length is very large compared to the message length, but on the other hand, errors can be corrected even in extremely noisy ...
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In computer programming, a block or code block or block of code is a lexical structure of source code which is grouped together. Blocks consist of one or more declarations and statements . A programming language that permits the creation of blocks, including blocks nested within other blocks, is called a block-structured programming language .
Minecraft: Story Mode is an episodic point-and-click video game developed and published by Telltale Games, based on Mojang Studios' sandbox video game Minecraft. The first five episodes were released between October 2015 through March 2016 and an additional three episodes were released as downloadable content (DLC) in mid-2016. A second season ...
The Walsh-Hadamard code is a subcode of the long code, and can be obtained by only using functions that are linear functions when interpreted as functions on the finite field with two elements. Since there are only 2 k {\displaystyle 2^{k}} such functions, the block length of the Walsh-Hadamard code is 2 k {\displaystyle 2^{k}} .
In coding theory, the Singleton bound, named after Richard Collom Singleton, is a relatively crude upper bound on the size of an arbitrary block code with block length , size and minimum distance . It is also known as the Joshibound [ 1 ] proved by Joshi (1958) and even earlier by Komamiya (1953) .