By Don Pentecost
Someone should be the topic of a knife assault. Maximize your possibilities for survival through studying lifelike features of knife assault and protection. those lethal ideas have been constructed within the violence of Folsom legal and move a ways past what you examine in karate class.
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Additional resources for Put 'Em Down, Take 'Em Out!: Knife Fighting Techniques from Folsom Prison
Example text
If we 31 Error Detection and Correction denote the jth column of H by h y , HeJ = h,r. So \ , h 2 , . . , hn must be nonzero and distinct. A code defined by the parity check matrix whose columns consist of all distinct nonzero binary vectors of length r is called a (binary) Hamming code. Since the number of such vectors is 2 r — 1, the code length is n = 2r — 1, while the number of check symbols is r. So this is a (2r — 1, 2r — r — 1) code. Hamming codes are single-error-correcting codes and have minimum distance 3.
Next, we consider shortening a code. If we make u message symbols be always 0's in encoding an (#, k) systematic linear code, the u symbols of each codeword corresponding to those u message symbols are also 0's. By removing those u symbols from a codeword, we have an (w — w, k — u) code, which is called a shortened code of the original code. The parity check matrix of a shortened code is obtained by removing the u columns corresponding to the removed symbols from the parity check matrix of the original code.
The resulting nxX n2 array is the codeword of the concate nated code, which is an («1w2, klk2) code over GF(2). Let dx and d2 be the minimum distance of Cx and C2, respectively. Then the minimum distance of the concatenated code is dxd2. 3. Cascaded Codes Cascaded codes can be regarded as a mixture of product codes and concate nated codes. A cascaded code is encoded as follows. First, arrange the kxk2 binary message symbols in a kx X k2 array; then divide this array into kxX b subarrays as shown in Fig.