CRYPTOGRAPHY CRYPTOGRAPHY Krypts grphein secret writing CRYPTOGRAPHY Krypts
- Slides: 69
CRYPTOGRAPHY
CRYPTOGRAPHY “Kryptós” + “gráphein” secret writing
CRYPTOGRAPHY “Kryptós” + “gráphein” secret writing Cryptography study of techniques for secure communication in the presence of third parties (mostly called adversary)
CRYPTOGRAPHY “Kryptós” + “gráphein” secret writing Cryptography study of techniques for secure communication in the presence of third parties (mostly called adversary) Cryptanalys study of methods for recovering the original text that has been encrypted without having access to the secret key
CRYPTOGRAPHY “Kryptós” + “gráphein” secret writing Cryptography study of techniques for secure communication in the presence of third parties (mostly called adversary) Cryptanalys Cryptology study of methods for recovering the original text that has been encrypted without having access to the secret key
CRYPTOGRAPHY
CRYPTOGRAPHY
CRYPTOGRAPHY
CRYPTOGRAPHY
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CRYPTOGRAPHY
CRYPTOGRAPHY Secret Key ENCRYPTION ALGORITHM Ciphertext
CRYPTOGRAPHY
CRYPTOGRAPHY
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CRYPTOGRAPHY
CRYPTOGRAPHY DECRYPTION ALGORITHM Secret Key
CRYPTOGRAPHY Same key for both sides DECRYPTION ALGORITHM Secret Key
CRYPTOGRAPHY Same key for both sides SYMMETRIC ENCRYPTION DECRYPTION ALGORITHM Secret Key
CRYPTOGRAPHY Same key for both sides SYMMETRIC ENCRYPTION M ENCRYPTION ALGORITHM SK M DECRYPTION ALGORITHM CT CT SK
Ceasar Cipher 3 3 plaintext CLEOPATRA
Ceasar Cipher 3 3 plaintext CLEOPATRA secret key 3 +
Ceasar Cipher 3 3 plaintext CLEOPATRA secret key 3 shift 3 to the right +
Ceasar Cipher 3 3 plaintext KLEOPATRA secret key 3 + shift 3 to the right ciphertext NOHRSDWUD
Ceasar Cipher 3 3 NOHRSDWUD
Ceasar Cipher 3 NOHRSDWUD 3 ciphertext
Ceasar Cipher 3 3 NOHRSDWUD ciphertext 3 secret key -
Ceasar Cipher 3 3 NOHRSDWUD ciphertext 3 secret key - shift 3 to the left
Ceasar Cipher 3 3 NOHRSDWUD ciphertext 3 secret key - shift 3 to the left CLEOPATRA plaintext
Shift Cipher • The "boss of bosses" of the Sicilian Mafia, Bernardo Provenzano (Binnu u tratturi – Binnu the tractor), used a modified form of the Caesar cipher to obscure "sensitive information" in notes left to either his family or underlings. C A R L E O N E
Shift Cipher A B C O P D E F G H Q R S T U I V • The "boss of bosses" of the Sicilian Mafia, Bernardo Provenzano (Binnu u tratturi – Binnu the tractor), used a modified form of the Caesar cipher to obscure "sensitive information" in notes left to either his family or underlings. J K W X C A R L M Y N Z L E O N E
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 • The "boss of bosses" of the Sicilian Mafia, Bernardo Provenzano (Binnu u tratturi – Binnu the tractor), used a modified form of the Caesar cipher to obscure "sensitive information" in notes left to either his family or underlings. C A R L E O N E
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 • The "boss of bosses" of the Sicilian Mafia, Bernardo Provenzano (Binnu u tratturi – Binnu the tractor), used a modified form of the Caesar cipher to obscure "sensitive information" in notes left to either his family or underlings. C A R L E O N E 2 0 17 11 4 14 13 4
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 • The "boss of bosses" of the Sicilian Mafia, Bernardo Provenzano (Binnu u tratturi – Binnu the tractor), used a modified form of the Caesar cipher to obscure "sensitive information" in notes left to either his family or underlings. C A R L E O N E 2 0 17 11 4 14 13 4 + 3
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 • The "boss of bosses" of the Sicilian Mafia, Bernardo Provenzano (Binnu u tratturi – Binnu the tractor), used a modified form of the Caesar cipher to obscure "sensitive information" in notes left to either his family or underlings. ciphertext C A R L E O N E 2 0 17 11 4 14 13 4 + 3 5 3 20 14 7 17 16 7
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 C A R L E O N E 2 0 17 11 4 14 13 4 + 15 17 15 6 (15+17) mod 26 = 6
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 C A R L E O N E 2 0 17 11 4 14 13 4 + 15 17 15 6 0 (15+11) mod 26 = 0
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 C A R L E O N E 2 0 17 11 4 14 13 4 + 15 17 15 6 0 19 3 2 19
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 C A R L E O N E 2 0 17 11 4 14 13 4 + 15 17 15 6 0 19 3 2 19 R P G A T D C T ciphertext
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 C A R L E O N E 2 0 17 11 4 14 13 4 + 15 17 15 6 0 19 3 2 19 R P G A T D C T
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 C A R L E O N E 2 0 17 11 4 14 13 4 + 15 R P G A T D C T 17 15 6 0 19 3 2 19 15 17 15 6 0 19 3 2 19 R P G A T D C T 2 0 17 (6 -15) mod 26 = 17
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 C A R L E O N E 2 0 17 11 4 14 13 4 + 15 R P G A T D C T 17 15 6 0 19 3 2 19 15 17 15 6 0 19 3 2 19 R P G A T D C T 2 0 17 11 4 14 13 4
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 C A R L E O N E 2 0 17 11 4 14 13 4 + 15 R P G A T D C T 17 15 6 0 19 3 2 19 15 17 15 6 0 19 3 2 19 R P G A T D C T 2 0 17 11 4 14 13 4 C A R L E O N E plaintext
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 C A R L E O N E 2 0 17 11 4 14 13 4 + 15 R P G A T D C T 17 15 6 0 19 3 2 19 15 17 15 6 0 19 3 2 19 R P G A T D C T 2 0 17 11 4 14 13 4 C A R L E O N E Is it hard to break this cipher?
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 F D U O H R Q H Is it hard to break this cipher?
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 F D U O H R Q H 5 3 20 14 7 17 16 7 Is it hard to break this cipher?
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 F D U O H R Q H 5 3 20 14 7 17 16 7 1 Is it hard to break this cipher?
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 F D U O H R Q H 5 3 20 14 7 17 16 7 1 4 2 19 13 6 16 15 6 Is it hard to break this cipher?
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 F D U O H R Q H 5 3 20 14 7 17 16 7 1 4 2 19 13 6 16 15 6 E B T N G Q P G Is it hard to break this cipher?
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 F D U O H R Q H 5 3 20 14 7 17 16 7 2 3 1 18 12 5 15 14 5 D B S M F P O F Is it hard to break this cipher?
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 F D U O H R Q H 5 3 20 14 7 17 16 7 3 2 0 17 11 4 14 13 4 C A R L E O N E Is it hard to break this cipher?
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 F D U O H R Q H 5 3 20 14 7 17 16 7 3 2 0 17 11 4 14 13 4 C A R L E O N E Is it hard to break this cipher? at most 26 keys
Shift Cipher A B C 0 1 2 D E F G H 3 4 5 6 7 I 8 J K L M N 9 10 11 12 13 O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 F D U O H R Q H 5 3 20 14 7 17 16 7 3 In brute force, at most 26 tries 2 0 17 11 4 14 13 4 C A R L E O N E Is it hard to break this cipher? at most 26 keys
Substitution Cipher A B C E S J O P G W D E F G H T U O F A Q R B I S T K N U L I J K Z P V V H W Y X C L M D X Y M Z R N Q
Substitution Cipher A B C E S J O P G W D E F G H T U O F A Q R B I CARLEONE plaintext S T K N U L I J K Z P V V H W Y X C L M D X Y M Z R N Q
Substitution Cipher A B C E S J O P G W D E F G H T U O F A Q R B I S T K N U L I J K Z P V V H W Y L M D X X C CARLEONE JEIDUGQU plaintext ciphertext Y M Z R N Q
Substitution Cipher A B C E S J O P G W D E F G H T U O F A Q R B I S T K N U L I J K Z P V V H W Y L M D X X C CARLEONE JEIDUGQU plaintext ciphertext How to break this cipher? Y M Z R N Q
Substitution Cipher A B C E S J O P G W D E F G H T U O F A Q R B I S T K N U L I J K Z P V V H W Y L M D X X C CARLEONE JEIDUGQU plaintext ciphertext How to break this cipher? the number of possible keys: 26! ≈ 4. 03 x 1026 ≈ 288 Y M Z R N Q
Substitution Cipher A B C E S J O P G W D E F G H T U O F A Q R B I S T K N U L I J K Z P V V H W Y L M D X X C CARLEONE JEIDUGQU plaintext ciphertext Y M N Q Z R How to break this cipher? the number of possible keys: 26! ≈ 4. 03 x 1026 ≈ 288 frequency analysis
Substitution Cipher • The frequency analysis of English alphabet • The most common bigrams : TH, HE, IN, EN, NT, RE, ER, AN, TI, ES • The most common trigrams : THE, AND, THA, ENT, ING, ION, TIO, FOR, NDE, HAS
Substitution Cipher « GFS WMY OG LGDVS MF SFNKYHOSU ESLLMRS, PC WS BFGW POL DMFRQMRS, PL OG CPFU M UPCCSKSFO HDMPFOSXO GC OIS LMES DMFRQMRS DGFR SFGQRI OG CPDD GFS LISSO GK LG, MFU OISF WS NGQFO OIS GNNQKKSFNSL GC SMNI DSOOSK. WS NMDD OIS EGLO CKSJQSFODY GNNQKKPFR DSOOSK OIS 'CPKLO', OIS FSXO EGLO GNNQKKPFR DSOOSK OIS 'LSNGFU' OIS CGDDGWPFR EGLO GNNQKKPFR DSOOSK OIS 'OIPKU', MFU LG GF, QFOPD WS MNNGQFO CGK MDD OIS UPCCSKSFO DSOOSKL PF OIS HDMPFOSXO LMEHDS. OISF WS DGGB MO OIS NPHISK OSXO WS WMFO OG LGDVS MFU WS MDLG NDMLLPCY POL LYEAGDL. WS CPFU OIS EGLO GNNQKKPFR LYEAGD MFU NIMFRS PO OG OIS CGKE GC OIS 'CPKLO' DSOOSK GC OIS HDMPFOSXO LMEHDS, OIS FSXO EGLO NGEEGF LYEAGD PL NIMFRSU OG OIS CGKE GC OIS 'LSNGFU' DSOOSK, MFU OIS CGDDGWPFR EGLO NGEEGF LYEAGD PL NIMFRSU OG OIS CGKE GC OIS 'OIPKU' DSOOSK, MFU LG GF, QFOPD WS MNNGQFO CGK MDD LYEAGDL GC OIS NKYHOGRKME WS WMFO OG LGDVS. »
Substitution Cipher • the frequency analysis of the text :
Substitution Cipher • the frequency analysis of the text : • substitute S and O with E and T, respectively
Substitution Cipher « GFe WMY t. G LGDVe MF e. FNKYHte. U Ee. LLMRe, PC We BFGW Pt. L DMFRQMRe, PL t. G CPFU M UPCCe. Ke. Ft HDMPFte. Xt GC t. Ie LMEe DMFRQMRe DGFR e. FGQRI t. G CPDD GFe LIeet GK LG, MFU t. Ie. F We NGQFt t. Ie GNNQKKe. FNe. L GC e. MNI Dette. K. We NMDD t. Ie EGLt CKe. JQe. Ft. DY GNNQKKPFR Dette. K t. Ie 'CPKLt', t. Ie Fe. Xt EGLt GNNQKKPFR Dette. K t. Ie 'Le. NGFU' t. Ie CGDDGWPFR EGLt GNNQKKPFR Dette. K t. Ie 't. IPKU', MFU LG GF, QFt. PD We MNNGQFt CGK MDD t. Ie UPCCe. Ke. Ft Dette. KL PF t. Ie HDMPFte. Xt LMEHDe. t. Ie. F We DGGB Mt t. Ie NPHIe. K te. Xt We WMFt t. G LGDVe MFU We MDLG NDMLLPCY Pt. L LYEAGDL. We CPFU t. Ie EGLt GNNQKKPFR LYEAGD MFU NIMFRe Pt t. G t. Ie CGKE GC t. Ie 'CPKLt' Dette. K GC t. Ie HDMPFte. Xt LMEHDe, t. Ie Fe. Xt EGLt NGEEGF LYEAGD PL NIMFRe. U t. G t. Ie CGKE GC t. Ie 'Le. NGFU' Dette. K, MFU t. Ie CGDDGWPFR EGLt NGEEGF LYEAGD PL NIMFRe. U t. G t. Ie CGKE GC t. Ie 't. IPKU' Dette. K, MFU LG GF, QFt. PD We MNNGQFt CGK MDD LYEAGDL GC t. Ie NKYHt. GRKME We WMFt t. G LGDVe. »
Substitution Cipher • The most common trigram in the text is TLE, which can be THE. So, substitute L with H.
Substitution Cipher • The most common trigram in the text is TLE, which can be THE. So, substitute L with H. • The next common in the text is G which could be A, I, or O The third word is t. G - only ‘to’ makes sense -
Substitution Cipher « o. Fe WMY to Lo. DVe MF e. FNKYHte. U Ee. LLMRe, PC We BFo. W Pt. L DMFRQMRe, PL to CPFU M UPCCe. Ke. Ft HDMPFte. Xt o. C the LMEe DMFRQMRe Do. FR e. Fo. QRh to CPDD o. Fe Lheet o. K Lo, MFU the. F We No. QFt the o. NNQKKe. FNe. L o. C e. MNh Dette. K. We NMDD the Eo. Lt CKe. JQe. Ft. DY o. NNQKKPFR Dette. K the 'CPKLt', the Fe. Xt Eo. Lt o. NNQKKPFR Dette. K the 'Le. No. FU' the Co. DDo. WPFR Eo. Lt o. NNQKKPFR Dette. K the 'th. PKU', MFU Lo o. F, QFt. PD We MNNo. QFt Co. K MDD the UPCCe. Ke. Ft Dette. KL PF the HDMPFte. Xt LMEHDe. the. F We Doo. B Mt the NPHhe. K te. Xt We WMFt to Lo. DVe MFU We MDLo NDMLLPCY Pt. L LYEAo. DL. We CPFU the Eo. Lt o. NNQKKPFR LYEAo. D MFU Nh. MFRe Pt to the Co. KE o. C the 'CPKLt' Dette. K o. C the HDMPFte. Xt LMEHDe, the Fe. Xt Eo. Lt No. EEo. F LYEAo. D PL Nh. MFRe. U to the Co. KE o. C the 'Le. No. FU' Dette. K, MFU the Co. DDo. WPFR Eo. Lt No. EEo. F LYEAo. D PL Nh. MFRe. U to the Co. KE o. C the 'th. PKU' Dette. K, MFU Lo o. F, QFt. PD We MNNo. QFt Co. K MDD LYEAo. DL o. C the NKYHto. RKME We WMFt to Lo. DVe. »
Substitution Cipher « one way to solve an encrypted message, if we know its language, is to find a different plaintext of the same language long enough to fill one sheet or so, and then we count the occurrences of each letter. we call the most frequently occurring letter the 'first', the next most occurring letter the 'second' the following most occurring letter the 'third', and so on, until we account for all the different letters in the plaintext sample. then we look at the cipher text we want to solve and we also classify its symbols. we find the most occurring symbol and change it to the form of the 'first' letter of the plaintext sample, the next most common symbol is changed to the form of the 'second' letter, and the following most common symbol is changed to the form of the 'third' letter, and so on, until we account for all symbols of the cryptogram we want to solve. »
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