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D. 12 (10)承上題,假設α是GF(16)的primitive element ,則利用α做出的校驗矩陣,大小為何? A. H是2x15矩陣 B. H是3x15矩陣 C. H是4x15矩陣 D. H是5x15矩陣 2. Consider the binary [7, 4, 3]-Hamming code with the generator polynomial gx)-1+x2+x 1001 11 0 0011101/ The parity-check matrix H is given as H 0 1001 1 1 (1) (8 pts) For the received word w 0110110, what is the syndrome? And what is the corresponding polynomial w(x)? (2) (8 pts) Let w c+ e, decode w by finding out e andc e
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