Question

Number Seven Please show step by step process

his table to correct the message Use t 11 1011000 0101110 0110001 1010110. B" be given by the generator matrix B"- 7. Let e down the two-column decoding table for f. A message is encoded using the letter equivalents 000 blank 100 A 010 E 001 T 110 N 101 R 011 D 111 H 011011 110000 010110 100000 110110 110111 011111. Decode the received message. Summary of Chapter 5 Thischapter was an introduction to basic group theory. Although groups them selves were defined in Chapter 4, we did little beyond offering definitions an examples there. In the present chapter, we first investigated the power of th oms and discussed equation-solving in groups as well as som ts about orders of elements in groups. An idea of great importance group ax simple facts

Answer 1

g?= { o oo , loo, o10,601 , llo, 101, o11, 111) FC11)-10o1o1 oo10t 041 1+11 H Or Do wua matrix multiplication Similoly the images of elements cn be compre d the remain q ute fC1o1) 101110 f Colf): 011101 Note thar we receive a 6 digit lccoded as 3- digit number So we have the fellousing decoding tble loeing decodi number which will b uing above funchonf Cs Scanned with CamScanner

Recerved worol de cecedet Word Pog 1 o o 11o of f 011101 Now we decode the given message oxm Received words do not belong to above list、 .80 co e now prepare. decoding table we find differenH of a bove words ー000000-100101- 01 01 10 oolol 1 11oolt 101110011101 00000 100000 o0oto1 11011 0 tololt ofoolf oolifo t111o Cos ests Note that this sow is Calculateof by adding ano 100ooo to all Column entrier and win thal we go on finding serch cosels till all entrier in B are Cevered we Con take any codeword for leftm 仆eco mpleteof table ¡』 given on next. which Isnt overeJinthelis ost Column 7 Cs Scanned with CamScanner

Paび-3 0000110000010001011 10110|10101イ1010011 lool 1101111101 l 0000 イ01 000 00100。|oolooo!101101|011110|000011|111011|100,folololofl 000100 00 foo 10 0001 oooo /01000010| 10011110101001001001|1/ooof!fofloolo/1111 |11101-0 ooooollooooo!! 1001001010111 loo lolo!イ/oofol tof 11 110111001 11 (001 column ntn decoding 011011-oot011-001 110000- → 111000 010110 → 010110 → 010(E) 100000 → Oooooo→ 000 (blank) 110110-) 010110→010 (E 110111 → 110011 → 110 (N) → 411 (H) Receivea meeHE END Cs Scanned with Camscanner