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Huffman tree generated from the exact frequencies of the text "this is an example of a huffman tree". Encoding the sentence with this code requires 135 (or 147) bits, as opposed to 288 (or 180) bits if 36 characters of 8 (or 5) bits were used (This assumes that the code tree structure is known to the decoder and thus does not need to be counted as part of the transmitted information).
Linear code. In coding theory, a linear code is an error-correcting code for which any linear combination of codewords is also a codeword. Linear codes are traditionally partitioned into block codes and convolutional codes, although turbo codes can be seen as a hybrid of these two types. [1] Linear codes allow for more efficient encoding and ...
Binary code. The word 'Wikipedia' represented in ASCII binary code, made up of 9 bytes (72 bits). A binary code represents text, computer processor instructions, or any other data using a two-symbol system. The two-symbol system used is often "0" and "1" from the binary number system. The binary code assigns a pattern of binary digits, also ...
In computing, a linear-feedback shift register ( LFSR) is a shift register whose input bit is a linear function of its previous state. The most commonly used linear function of single bits is exclusive-or (XOR). Thus, an LFSR is most often a shift register whose input bit is driven by the XOR of some bits of the overall shift register value.
The binary Golay code, G 23 is a perfect code. That is, the spheres of radius three around code words form a partition of the vector space. G 23 is a 12-dimensional subspace of the space F 23 2. The automorphism group of the perfect binary Golay code G 23 (meaning the subgroup of the group S 23 of permutations of the coordinates of F 23
In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for data whose source is an independent identically-distributed random variable, and the operational meaning of the Shannon entropy . Named after Claude Shannon, the source coding theorem shows ...
Braille ASCII (or more formally The North American Braille ASCII Code, also known as SimBraille) is a subset of the ASCII character set which uses 64 of the printable ASCII characters to represent all possible dot combinations in six-dot braille. It was developed around 1969 and, despite originally being known as North American Braille ASCII ...
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 ...