Alice published the following elliptic curve public key: Elliptic Curve group y? = r + ax + b mod p where a=7197467384693462796497469 b=745697856874569824735 p=73657856349756784653478657834659847568497356973891. g=1773475695697567, 522756791923325048179949143542160489989684084147641 b= 41030834640932917983103424176233916857128023084843. 51714466241536028944899866338920447412690190650854 Tolerance parameter: T=46 Bob encrypted a message for Alice. The encrypted message is in five packets as follows: e=128175896933920284410497875497848075232743258009281, 39137020745538123348703673067447480372901135807265 y= 21478532406087707182410446686356558800777486356489, 62168223452312923224511582969271645946692281765663] e= (55340746490250151431939764254535018875852094143130. 3343168312939476923195751151237875001065778885759 y=21478532406087707182410446686356558800777486356489, 62168223452312923224511582969271645946692281765663 e= (58643339612582841196921146819977335780715888732781. 18615594834659137697333452034629319810499644522415) y=21478532406087707182410446686356558800777486356489, 62168223452312923224511582969271645946692281765663 e= (20507117052795475037368530115389322130668351633985, 337072222482860459487883664877154934163387544368021 y=21478532406087707182410446686356558800777486356489. 621682234523129232245115829692716459466922817656631 e= (54346519059866548231947336760392390900580304679213, 32147152068938714415696414526167746666046404595533 y =21478532406087707182410446686356558800777486356489, 62168223452312923224511582969271645946692281765663] ASSIGNMENT 4 It has come to Boris' attention that one of the encrypted packets encrypts the phrase "nt message pack. Using this information, decrypt the entire message. Carefully describe your analysis of the problem, as well as the weakness that led to the decryption. Alice published the following elliptic curve public key: Elliptic Curve group y? = r + ax + b mod p where a=7197467384693462796497469 b=745697856874569824735 p=73657856349756784653478657834659847568497356973891. g=1773475695697567, 522756791923325048179949143542160489989684084147641 b= 41030834640932917983103424176233916857128023084843. 51714466241536028944899866338920447412690190650854 Tolerance parameter: T=46 Bob encrypted a message for Alice. The encrypted message is in five packets as follows: e=128175896933920284410497875497848075232743258009281, 39137020745538123348703673067447480372901135807265 y= 21478532406087707182410446686356558800777486356489, 62168223452312923224511582969271645946692281765663] e= (55340746490250151431939764254535018875852094143130. 3343168312939476923195751151237875001065778885759 y=21478532406087707182410446686356558800777486356489, 62168223452312923224511582969271645946692281765663 e= (58643339612582841196921146819977335780715888732781. 18615594834659137697333452034629319810499644522415) y=21478532406087707182410446686356558800777486356489, 62168223452312923224511582969271645946692281765663 e= (20507117052795475037368530115389322130668351633985, 337072222482860459487883664877154934163387544368021 y=21478532406087707182410446686356558800777486356489. 621682234523129232245115829692716459466922817656631 e= (54346519059866548231947336760392390900580304679213, 32147152068938714415696414526167746666046404595533 y =21478532406087707182410446686356558800777486356489, 62168223452312923224511582969271645946692281765663] ASSIGNMENT 4 It has come to Boris' attention that one of the encrypted packets encrypts the phrase "nt message pack. Using this information, decrypt the entire message. Carefully describe your analysis of the problem, as well as the weakness that led to the decryption