Grade School Crypto. Part 1. Dr. Rick Smith, Cryptosmith October, 2013

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1 Grade School Crypto Part 1 Dr. Rick Smith, Cryptosmith October, 2013

2 What We ll Learn About Substitution ciphers, especially the Caesar Ciphers Algorithms and Keys Cipher Disks Cracking a cipher key using letter frequencies

3 Alice Bob

4 Eve

5

6 Zfmebop Ciphers efab hide qeb the jbxkfkd meaning lc of qbuq text

7 Zfmebop efab qeb jbxkfkd lc qbuq

8 The Add One Cipher

9 A COLD

10 A COLD AB

11 A COLD B DPMD DPME

12 A DPME COLD B

13 B DPME

14 B DPME

15 B DPME B A DPME

16 B DPME A COLE COLD

17 BOB HAS A COLD B DPME

18 The Caesar Cipher Source: H. F. Helmolt (ed.): History of the World. New York, Provided by Wikipedia.

19 Roman historians recorded that Caesar used this cipher to protect messages of military significance Source: H. F. Helmolt (ed.): History of the World. New York, Provided by Wikipedia.

20 The Add Three Cipher

21 A BREEZE

22 A BREEZE BCAD

23 A BREEZE D EUHE EUHF EUHG EUHH

24 A BREEZE D EUHH?? What letter comes after Z?

25 No problem. We just start the alphabet over.

26 A BREEZE D EUHHCE EUHHCF EUHHCG EUHHCH

27 D EUHHCH

28 Shifting is the Key

29 A FROG COLD D

30 ??? D C FROG EPNF D FROG

31 Our Cipher To encrypt, we shift the alphabet by 13

32 Modern Ciphers have Two Parts ALGORITHM: A Scrambling/Descrambling Rule For Alice and Bob: shifting the alphabet KEY: A shared secret For Alice and Bob: the amount of the shift Agree on a specific value!

33 A Cipher Disk

34 History These cipher disks were used during the American Civil War Confederate Army Reproduction based on a Confederate cipher disk shown in The Codebreakers, (David Kahn, Scribners, 1996) Union Army From the Gettysburg Battlefield Museum, U.S. National Park Service

35 A Cipher Disk Shift 1 letter for the Add One cipher

36 A Cipher Disk Shift 3 letters for the Caesar cipher

37 A Cipher Disk Plain text on the outside Cipher text on the inside

38 A Cipher Disk The disk provides the algorithm The shift provides the key

39 A Cipher Disk A Substitution Cipher

40 Letters as Numbers

41 Our Cipher Algorithm P+S=C

42 Our Cipher Algorithm P+S=C A = 1, B = 2, C = 3 Add 1 Cipher S = B = 2 P = C = = 5 = E but, D follows C!

43 Letters as Numbers A 1 A =0

44 Letters as Numbers A = 0, B = 1, C = 2,... Y = 24, Z = 25.

45 Our Cipher Algorithm P+S=C = 5 C + D = F

46 Our Cipher Algorithm P+S=C P+S - S=C- S P=C- S

47 Our Cipher Algorithm P+S=C X=23, Y=24, Z=25 How do we encrypt XYZZY?

48 A Cipher Disk XYZZY ABCCB

49 Clock Arithmetic Start time: 7:00

50 Clock Arithmetic Start time: 7:00 End: 7 hours later End time: 2:00 14:00?

51 Clock Arithmetic Start time: 7:00 End: 42 hours later 1:00 12 and End time: 49 keep the remainder = 4, remainder = 1

52 Modular Clock Arithmetic Clock Time = (Now + Length) mod 12 (7 + 42) mod 12 = 1

53 Cracking the Cipher Key

54 A COLD! B DPME

55 Cipher Disk: simple substitution cipher B DPME A COLD

56 Cipher Disk: B DPME A COLD

57 Zfmebop efab qeb jbxkfkd lc qbuq

58 Other Most Common Vowels Letters (a, i, o)

59 Zfmebop efab qeb jbxkfkd lc qbuq Most frequent Very frequent from

60 Ciphertext B = Plaintext E? Zfmebop Ciphers efab hide qeb the jbxkfkd of lc meaning qbuq text

61

62 Software Players in this Production: DAZ Studio 4.6 Pro, by DAZ 3D Keynote by Apple, Inc. Sadie and Sam for Genesis, by 3D Universe Saddle Oxfords for Genesis, by blondie9999 Interiors the Classroom, by Maclean Rock_it Bundle, by SilvaAnt3d Anime School Girl Uniform, by Bobbie25 Japanese School Uniform for boys, by Sickleyield Clock face by markroth8 from openclipart.org Frequency Analysis from from codebreaking/frequency-analysis.php

63 Copyright 2013 Cryptosmith Institute

64 Grade School Crypto Part 2 Dr. Rick Smith, Cryptosmith October, 2016

65 What We ll Learn About Mono-alphabetic ciphers Trouble with Caesar-like ciphers Scrambled alphabets Symbol alphabets Decrypting/Solving an alphabet

66 Alice Bob

67 A COLD! B DPME Eve

68 A Cipher Disk We pick a cipher to use by setting the inner disk

69 A B C D E F G H I J K... B C D E F G H I J K L... A CFUUFS BETTER DJQIFS? CIPHER? B

70 A Simple Substitution Cipher Ciphers Zfmebop hide qeb the efab meaning lc of jbxkfkd text qbuq

71 A B C D E F G H I J K... J D I H F K A C E B G...

72 A Better Cipher A B C D E F G H I J K L M N O P Q R S T U V W X Y Z J D I H F K A C E B G R M X Z L U N P Y O T Q S W V J DFYYFN IELCFN

73 Symbol Alphabets A' 2""234-5(23!"#$$#%&'()#% *(+))+,-./0+, BETTER CIPHER

74 Symbol Alphabets 53++!305))6*;4826)4+.)4+);806*; 48!8`60))85;1+(;:+*8!83(88)5*!; 46(;88*96*?;8)*+(;485);5*!2:*+ (;4956*2(5* 4)8`8*; );)6!8)4++;1( 9;48081;8:8+1;48!85; 4)485!528806*81( 9;48;(88;4(+?3 4;48)4+;161;:188;+?;

75 Symbol PigpenAlphabets Cipher A B C D E F G H I ABC BIG FEED FEED BIG

76 Pigpen Cipher J. K. L. M.. P N.. Q O.. R A COLD COLD A

77 Pigpen Cipher Ciphers Ciphers hide the the hide meaning meaning of text text of

78 Cracking Alphabets

79 NFFU BU MEET AT AT MEET UIF QBSL THE THE PARK PARK

80 NFFU BU UIF QBSL

81 THE PARK!

82 Recognizing Patterns MEET AT THE PARK NFFU BU UIF QBSL RUUC WC CTU NWFB ZRRG NG GUR CNEX PHHW DW WKH SDUN

83 Cracking Symbols 53++!305))6*;4826)4+.)4+);806*; 48!8`60))85;1+(;:+*8!83(88)5*!; 46(;88*96*?;8)*+(;485);5*!2:*+ (;4956*2(5* 4)8`8*; );)6!8)4++;1( 9;48081;8:8+1;48!85; 4)485!528806*81( 9;48;(88;4(+?3 4;48)4+;161;:188;+?;

84 Letter Frequencies E T From The Gold Bug From typical English

85 From The Gold Bug 53++!305))6*T4E26)4+.)4+)TE06*T A3OO!30A))6*T4E26)4O.)4O)TE06*T 53++!305))6*;4826)4+.)4+);806*; 53OO!305))6*TAE26)AO.)AO)TE06*T 4E!E`60))E5T1+(T:+*E!E3(EE)5*!T 4E!E`60))EAT1O(T:O*E!E3(EE)A*!T 48!8`60))85;1+(;:+*8!83(88)5*!; AE!E`60))E5T1O(T:O*E!E3(EE)5*!T 46(TEE*96*?TE)*+(T4E5)T5*!2:*+ 46(TEE*96*?TE)*O(T4EA)TA*!2:*O 46(;88*96*?;8)*+(;485);5*!2:*+ A6(TEE*96*?TE)*O(TAE5)T5*!2:*O (T4956*2(5* 4)E`E*T40692E5)T)6 (T49A6*2(A* 4)E`E*T40692EA)T)6 (;4956*2(5* 4)8`8*; );)6 (TA956*2(5* A)E`E*TA0692E5)T)6!E)4++T1(+9T4E0E1TE:E+1T4E!E5T!E)4OOT1(O9T4E0E1TE:EO1T4E!EAT!8)4++;1( 9;48081;8:8+1;48!85;!E)AOOT1(O9TAE0E1TE:EO1TAE!E5T 4)4E5!52EE06*E1(+9T4ET(EET4(+?3 4)4EA!A2EE06*E1(O9T4ET(EET4(O?3 4)485!528806*81( 9;48;(88;4(+?3 A)AE5!52EE06*E1(O9TAET(EETA(O?3 4;48)4+;161;:188;+?; 4T4E)4+T161T:1EET+?T ATAE)AOT161T:1EETO?T 4T4E)4OT161T:1EETO?T

86 From The Gold Bug Letter Frequencies ETAO INSH From typical English

87 From The Gold Bug A3OO!30A))INT4E2I)4O.)4O)TE0INT A3OO!30A))6*T4E26)4O.)4O)TE06*T A3OO!30ASSINTHE2ISHO.SHOSTE0INT 4E!E`I0))EAT1O(T:ONE!E3(EE)AN!T 4E!E`60))EAT1O(T:O*E!E3(EE)A*!T HE!E`I0SSEAT1O(T:ONE!E3(EESAN!T 4I(TEEN9IN?TE)NO(T4EA)TAN!2:NO 46(TEE*96*?TE)*O(T4EA)TA*!2:*O HI(TEEN9IN?TESNO(THEASTAN!2:NO (T49AIN2(AN 4)E`ENT40I92EA)T)I (T49A6*2(A* 4)E`E*T40692EA)T)6 (TH9AIN2(AN HSE`ENTH0I92EASTSI!E)4OOT1(O9T4E0E1TE:EO1T4E!EAT!E)HOOT1(O9THE0E1TE:EO1THE!EAT 4)4EA!A2EE0INE1(O9T4ET(EET4(O?3 4)4EA!A2EE06*E1(O9T4ET(EET4(O?3 H)HEA!A2EE0INE1(O9THET(EETH(O?3 4T4E)4OT161T:1EETO?T 4T4E)4OT1I1T:1EETO?T HTHESHOT1I1T:1EETO?T

88 From The Gold Bug A3OO!30ASSINTHE2ISHO.SHOSTE0INT AGOODGLASSINTHEBISHOPSHOSTELINT HE!E`I0SSEAT1O(T:ONE!E3(EESAN!T HEDEVILSSEATFORTYONEDEGREESANDT HI(TEEN9IN?TESNO(THEASTAN!2:NO HIRTEENMINUTESNORTHEASTANDBYNO (TH9AIN2(AN HSE`ENTH0I92EASTSI RTHMAINBRANCHSEVENTHLIMBEASTSI!E)HOOT1(O9THE0E1TE:EO1THE!EAT DESHOOTFROMTHELEFTEYEOFTHEDEAT H)HEA!A2EE0INE1(O9THET(EETH(O?3 HSHEADABEELINEFROMTHETREETHROUG HTHESHOTFIFTYFEETOUT HTHESHOT1I1T:1EETO?T

89

90 Software Players in this Production: DAZ Studio 4.6 Pro, by DAZ 3D Keynote by Apple, Inc. Sadie and Sam for Genesis, by 3D Universe Rock_it Bundle, by SilvaAnt3d Pirate and Princess Sea Chests by JGreenlees Cipher tools from Statistics for The Gold Bug by Czech Wikipedia user Utar Frequency analysis from from codebreaking/frequency-analysis.php

91 Copyright 2016 Cryptosmith Institute

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