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solving discrete logs: baby-step, giant-step

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Solving Discrete Logs: Baby-Step, Giant-Step Prof Bill Buchanan OBE, The Cyber Academy http://asecuritysite.com

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Page 1: Solving Discrete Logs: Baby-Step, Giant-Step

Solving Discrete Logs: Baby-Step, Giant-StepProfBillBuchananOBE,TheCyberAcademy

http://asecuritysite.com

Page 2: Solving Discrete Logs: Baby-Step, Giant-Step

Discrete Logs

• UsedwithinDiffie-HellmanandEllipticCurveDiffie-HellmanMethod.

• UsedwithElGamalencryptionmethod.

Outline:- Understandingdiscretelogs.- Pickingg.- Usingbaby-step,giant-step.

Page 3: Solving Discrete Logs: Baby-Step, Giant-Step

Discrete Logs

Finitefield:ℤp-{0,1,2,3,…p-1}

Link

ForallxvalueswithinfinitefieldweproduceauniqueYvalue

https://asecuritysite.com/encryption/pickg
Page 4: Solving Discrete Logs: Baby-Step, Giant-Step

Discrete Logs

Finitefield:ℤp-{0,1,2,3,…p-1}

Link

ForallxvalueswithinfinitefieldweproduceauniqueYvalue

https://asecuritysite.com/encryption/pickg
Page 5: Solving Discrete Logs: Baby-Step, Giant-Step

Baby-Step Giant-Step

Link

IfwehaveY,gandp,howdowefindp?

https://asecuritysite.com/encryption/pickg
Page 6: Solving Discrete Logs: Baby-Step, Giant-Step

Baby-Step Giant-Step

Link

IfwehaveY,gandp,howdowefindp?

https://asecuritysite.com/encryption/pickg
Page 7: Solving Discrete Logs: Baby-Step, Giant-Step

Baby-Step Giant-Step

Link

https://asecuritysite.com/encryption/baby
Page 8: Solving Discrete Logs: Baby-Step, Giant-Step

Baby-Step Giant-Step

Link

https://asecuritysite.com/encryption/baby
Page 9: Solving Discrete Logs: Baby-Step, Giant-Step

Baby-Step Giant-Step

Link

https://asecuritysite.com/encryption/baby
Page 10: Solving Discrete Logs: Baby-Step, Giant-Step

Baby-Step Giant-Step

Link

https://asecuritysite.com/encryption/baby
Page 11: Solving Discrete Logs: Baby-Step, Giant-Step

Real problem

Link

https://asecuritysite.com/encryption/baby
Page 12: Solving Discrete Logs: Baby-Step, Giant-Step

Solving Discrete Logs: Baby-Step, Giant-StepProfBillBuchananOBE,TheCyberAcademy

http://asecuritysite.com


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