Examples
As mentioned above, there is a vast number of error-correcting codes that are actually block codes. The first error-correcting code was the Hamming(7,4)-code, developed by Richard W. Hamming in 1950. This code transform a message consisting of 4 bits into a codeword of 7 bits by adding 3 parity bits. Hence this code is a block code. It turns out that it is also a linear code and that it has distance 3. In the shorthand notation above, this means that the Hamming(7,4)-code is a -code.
Reed-Solomon codes are a family of -codes with and being a prime power. Rank codes are family of -codes with . Hadamard codes are a family of -codes with and .
Read more about this topic: Block Code
Famous quotes containing the word examples:
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)