Permutations Abiding Some Error Sample Clauses

Permutations Abiding Some Error. Detecting Code A (block) code C with block length n and message length k, with k < n, repre- sents k-symbol messages with n-symbol codewords. The symbols belong to an alphabet whose size is denoted by α. The αk codewords form a subset of the set of all αn n-symbol vectors. With some abuse of notation, we denote the set of codewords by C. The Hamming distance between two codewords is the number of positions at which the corresponding symbols are different. The distance d of a code is the minimum of the Hamming distance over all pairs of its codewords. Often codes are characterized by their dimension parameters in the following notation: [n, k, d]α. We can now define a code-abiding permutation.
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