Here is exercise #3. [1.] Decode the following phrase, which was encoded using a affine encoding cipher on a 27-letter alphabet (the letters a-z and a blank). Note that a=0. xgb dkjvmbkffcmtkrv m lkaerask mdbmwkfmezremzkmxrcm kkmfvkrx mxgvkmaskrvsc ----------------------------------------------------------------------------- [2.] The message below has been encoded using a linear cipher, A*v, where A is a 3x3 matrix. The mesage was coded in a 97-character alphabet (given below), where the first character (a blank) is given the numeric code 0. You are given the decoding of the first sentence. Line breaks have been preserved. Decrypt the message. Alphabet:=convert([seq(i,i=32..126),162,164],bytes); First line of message: Famous last words: Coded message follows: "p1[FxS]JRYYGTLRw< _K^:}l*3znqL>_{KTbC]jZo.b!4G&*VlliVDb8t`{jW2/5cJ2^.d6C(Xfg^s>=GA=#Ik %#LO:w tX9#~jTZSy¢+AqL%xgJ|_?hIt;{fDE8_TrzW5=8)i=fF¤yZV*MnhQK!-.|4JF[oV3zb3 c/U5Pf=(8] ¤jgi|$iK5W"=nRtJ&ehj%=P[K¢)mLpMm*x?c.QSGK}[7DMi=fFTp-¤;?RhT:e¢Ru\*/;-Poj+<.EG=fF"n-Fih.qmj10dH xN[ =b/{Kp+mKBnaUXlM"Oc}WnhQ=fFMm*l{&.QSQe`jo; @j`^=8l P._o$VQH{:}lh0kk?<[e/J;s_iw3Gi4G&aC/+_RCl~Q¤4O#$#@'q@kGK}v,tj10]Tk^#"SBu i*}E#)MJJGK}:}l |+GK}~LzgqDM|8GK}TodG0/\Pwc#I~x$8*-kS,^iM ;?.CM8,#m ------------------------------------------------------------------------- [3.] Recall that a Vign\`ere cipher can be interpreted as a Caesar-like cipher on n-vectors, where n is the length of the key phrase. Can any affine encipherment on digraphs (two-character codes) be interpreted as a an affine matrix encipherment on 2-vectors? If your answer is yes, prove it. If no, give a counter-example which cannot be so interpreted.