Question

Ovestinn 5 Comsider de 52) hckk codine scheme e in te e el s Mark Dtawod Codewond 0000 01010 10 10100 11 11111 a) What is the number of mdundene bits added to cach datawond b) Find the minimum Hamming distance d of the coding scheme Determine the number of errors that can be detected by this code. c) Determine the number of errors that can be corrected by this code. d) e) Assume that the received codeword is (10101) and that there is only a single bit error in the received codeword. Determine the the transmissited codeword. Clearly justify your answer. What is the transmitted dataword corresponding to the estimated codeword in e) above?

Answer 1

a) bloik code (5,2) an u 52-3 destance (dmin Homonie g 3 Co000o100 [01010J o100] d4 ds 3 de dmin =3 C) detected t euoIS dmin-i t Cs Scanned with CamScapner1AIS dekckd -

coorcc d: t extoois 2tt 3 e) mimi exNOR (bits in m) m2m2 enNOR (bisin m,) m2 m3 m3 eNOR (bits in m ma M4 m4 eNOR Cbibin m4) m4 (o00) O O 0 1 O1 01 (O01) 10 LO01) 11 11 101) Bing u dit oar ( 10 10 1) aiven M3 =10 enNoR (1,0) = o; Toansmitted6i 0 10.0 - mm eNoR (bit ofm) data- m 1O cs Scanned with CSCamScanner