rsa side channel attack - asecuritysite.comsay hello to rsa • two primes p, q. • calculate n...
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RSA Side Channel Attack
ProfBillBuchananOBE,TheCyberAcademyhttp://asecuritysite.com
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Say Hello To RSA
• Twoprimesp,q.• CalculateN(modulus)aspxqeg3and11.n=33.
• CalculatePHIas(p-1)x(q-1).PHI=20• SelectefornocommonfactorwithPHI.e=3.
• Encryptionkey[e,n]or[3,33].• (dxe)modPHI=1• (dx3)mod20=1• d=7• Decryptionkey[d,n]or[7,33]
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Say Hello To RSA
• Encryptionkey[e,n]or[3,33].• Decryptionkey[d,n]or[7,33]• Cipher=MemodNegM=5.• Cipher=53mod33=26• Decipher=CdmodN• Decipher=(26)7mod33=5
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RSA
Square Square Square
Binaryvalueof12is:0b1100BitResult2:25(square)2:125(multiply)3:15625(square)4:244140625(square)Result:244140625
58x5=59
1 - Square and multiply 0 - Square
Link
AxAy=Ax+y(Ax)y=Axy(Ax)2=A2x
https://asecuritysite.com/encryption/sqm?val1=5&val2=128
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RSA
Link
0(S),1(SM),1(SM),0(S),1SM,0(S),0(S),1(SM),1(SM),1(SM),0(S),1(SM).Wehavenowrevealedvirtuallyallofthebitsinthekey:
UnderstandingCryptography:Atextbookforstudents,Page197.
https://asecuritysite.com/encryption/sqm?val1=5&val2=128
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RSA
LinkSamsungGalaxyCenturaSCH-S738Csmartphone,anAlcatelIdealsmartphone,andanA13-OLinuXinoboard(Figure3).
https://asecuritysite.com/encryption/sqm?val1=5&val2=128
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RSA
LinkSamsungGalaxyCenturaSCH-S738Csmartphone,anAlcatelIdealsmartphone,andanA13-OLinuXinoboard(Figure3).
https://asecuritysite.com/encryption/sqm?val1=5&val2=128
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RSA
LinkInMontgomeryreductionweaddmultiplesofNinordertosimplythemultiplication.
https://asecuritysite.com/encryption/mont_m
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RSA
LinkInMontgomeryreductionweaddmultiplesofNinordertosimplythemultiplication.
https://asecuritysite.com/encryption/mont_m
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RSA
LinkInMontgomeryreductionweaddmultiplesofNinordertosimplythemultiplication.
https://asecuritysite.com/encryption/mont_m
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RSA Side Channel Attack
ProfBillBuchananOBE,TheCyberAcademyhttp://asecuritysite.com