Cryptography

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Reuel Ramos Ribeiro

Introduction about the topic for general audience

Tecnología

Agenda
● Modern life and confidential information
● Understanding cryptography
● First methods ( and the key distribution problem )
● Actual methods ( public-key distribution )
● Conclusion

Two problems for you
“Caesar is Canadian (x10)”

Purpose
"Always be yourself, express
yourself, have faith in yourself, do
not go out and look for a successful
personality and duplicate it."
Bruce Lee.
ylGgbjwpVnrN4Mx4kTDG4LD8blwtFU
G2X7MQt5olmuWRw7HPIY6/U8Fplmz
EdVWWX+/0ivQ5pRMjUzhSmxXuZG09
HqLiWWrV7Fr4pCG7bTeEEq0LDr0Lze
/rYgLy1faxhYZb9M0ADol1XmaFS5iTK
gjv/PWTQbV8v7eTBaxKL/xQUvAUjQ
b1ZeZWd7pyzhf8
ORIGINAL CIPHERED

First methods…
Transposition and Substitution

Polybius’ Checkerboard (205 B.C.E)
“Meet me at the park”
becomes
32151544 3215 1144
442315 35114225

Public-Key Cryptography
A mathematical approach

Asymmetric Key
Related
887 * 983871921
prime * prime
(private key)
semiprime
(public key)

Prime number (617 digits)
251959084756578934940271832400483985714292821262040320277771378360436620
207075955562640185258807844069182906412495150821892985591491761845028084
891200728449926873928072877767359714183472702618963750149718246911650776
133798590957000973304597488084284017974291006424586918171951187461215151
726546322822168699875491824224336372590851418654620435767984233871847744
479207399342365848238242811981638150106748104516603773060562016196762561
338441436038339044149526344321901146575444541784240209246165157233507787
077498171257724679629263863563732899121548314381678998850404453640235273
81951378636564391212010397122822120720357

Why is that safe?
1.There are infinite prime numbers
2.There is no general mathematical formula
to get ALL prime numbers
3.There is no efficient algorithm to factorize
numbers

Invitation to Cryptology
Author: Thomas H. Barr
Date: 2002
Publisher: Prentice Hall

The Code Book: How to Make It, Break It, Hack It, Crack It
Author: Simon Singh
Date: 2001
Publisher: Delacorte Press

Code Breaking: A history and exploration
Author: Rudolf Kippenhahn
Date: 1999
Publisher: Overlook Press

Questions
I’ll be glad to answer them (really)

Bibliography
Baar, T. H. (2002). Invitation to Cryptology. New Jersey: Prentice Hall.
Kippenhahn, R. (1999). Code Breaking: A history and exploration . New York: Overlook Press.
Singh, S. (2001). The Code Book: How to Make It, Break It, Hack It, Crack It.
New York: Delacorte Press.

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2. Dszquphsbqiz Sfvfm Sbnpt Sjcfjsp

3. Cryptography Reuel Ramos Ribeiro

4. Agenda ● Modern life and confidential information ● Understanding cryptography ● First methods ( and the key distribution problem ) ● Actual methods ( public-key distribution ) ● Conclusion

5. Two problems for you “Caesar is Canadian (x10)”

6. Data over the Internet Am I safe?

7. Let’s talk about online security...

8. Let’s talk about online security...

9. Let’s talk about online security...

10. What is cryptography?

11.

12. Purpose "Always be yourself, express yourself, have faith in yourself, do not go out and look for a successful personality and duplicate it." Bruce Lee. ylGgbjwpVnrN4Mx4kTDG4LD8blwtFU G2X7MQt5olmuWRw7HPIY6/U8Fplmz EdVWWX+/0ivQ5pRMjUzhSmxXuZG09 HqLiWWrV7Fr4pCG7bTeEEq0LDr0Lze /rYgLy1faxhYZb9M0ADol1XmaFS5iTK gjv/PWTQbV8v7eTBaxKL/xQUvAUjQ b1ZeZWd7pyzhf8 ORIGINAL CIPHERED

13.

14. Algorithm Key Cryptography’s basis

15. First methods… Transposition and Substitution

16. Spartan Scytale (500 B.C.E)

17. Polybius’ Checkerboard (205 B.C.E) “Meet me at the park” becomes 32151544 3215 1144 442315 35114225

18. Symmetric Key

19. Public-Key Cryptography A mathematical approach

20. Mathematical functions

21. RSA algorithm (MIT - 1977)

22. Symmetric Key

23. Asymmetric Key

24. Asymmetric Key Related

25. Asymmetric Key Related 887 * 983871921 prime * prime (private key) semiprime (public key)

26. Prime number (617 digits) 251959084756578934940271832400483985714292821262040320277771378360436620 207075955562640185258807844069182906412495150821892985591491761845028084 891200728449926873928072877767359714183472702618963750149718246911650776 133798590957000973304597488084284017974291006424586918171951187461215151 726546322822168699875491824224336372590851418654620435767984233871847744 479207399342365848238242811981638150106748104516603773060562016196762561 338441436038339044149526344321901146575444541784240209246165157233507787 077498171257724679629263863563732899121548314381678998850404453640235273 81951378636564391212010397122822120720357

27. Why is that safe? 1.There are infinite prime numbers 2.There is no general mathematical formula to get ALL prime numbers 3.There is no efficient algorithm to factorize numbers

28. Conclusion

29. Web browsers

30. Example

31. Bibliography

32. Invitation to Cryptology Author: Thomas H. Barr Date: 2002 Publisher: Prentice Hall

33. The Code Book: How to Make It, Break It, Hack It, Crack It Author: Simon Singh Date: 2001 Publisher: Delacorte Press

34. Code Breaking: A history and exploration Author: Rudolf Kippenhahn Date: 1999 Publisher: Overlook Press

35. Questions I’ll be glad to answer them (really)

36. Bibliography Baar, T. H. (2002). Invitation to Cryptology. New Jersey: Prentice Hall. Kippenhahn, R. (1999). Code Breaking: A history and exploration . New York: Overlook Press. Singh, S. (2001). The Code Book: How to Make It, Break It, Hack It, Crack It. New York: Delacorte Press.

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