Spring'2016' Franziska'(Franzi)'Roesner''
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1 CSE$484$/$CSE$M$584:$$Computer$Security$and$Privacy$ $ Cryptography:$$ Symmetric$Encryption$[continued]$ Spring'2016' ' Franziska'(Franzi)'Roesner'' franzi@cs.washington.edu' Thanks'to'Dan'Boneh,'Dieter'Gollmann,'Dan'Halperin,'Yoshi'Kohno,'John'Manferdelli,'John' Mitchell,'Vitaly'Shmatikov,'Bennet'Yee,'and'many'others'for'sample'slides'and'materials'...'
2 Reminder$ Submit'md5'hashes'to'Catalyst'dropbox' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2015' 2'
3 Recap:$Flavors$of$Cryptography$ Symmetric'cryptography' Both'communicating'parties'have'access'to'a' shared'random'string'k,'called'the'key.' ' Asymmetric'cryptography' Each'party'creates'a'public'key'pk'and'a'secret' key'sk.''' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 3'
4 Achieving$Privacy$(Symmetric)$ Encryption'schemes:''A'tool'for'protecting'privacy.' M' Encrypt' C' Decrypt' M' Alice' K' K' Message'='M' Ciphertext'='C'' Adversary' K' Bob' K' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 4'
5 Achieving$Privacy$(Asymmetric)$ Encryption'schemes:''A'tool'for'protecting'privacy.' M' Encrypt' C' Decrypt' M' Alice' pka,ska' pkb' pkb' Message'='M' Ciphertext'='C'' Adversary' skb' pka' Bob' pkb,skb' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 5'
6 Reducing$Key$Size$ What'to'do'when'it'is'infeasible'to'preWshare'huge' random'keys?' When'oneWtime'pad'is'unrealistic ' Use'special'cryptographic'primitives:'''''''''''''''''''''' ciphers,'stream'ciphers' Single'key'can'be'reWused'(with'some'restrictions)' Not'as'theoretically'secure'as'oneWtime'pad' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 6'
7 Stream$Ciphers$ OneWtime'pad:'Ciphertext(Key,Message)=Message Key' Key'must'be'a'random'bit'sequence'as'long'as'message' Idea:'replace' random 'with' pseudowrandom ' Use'a'pseudoWrandom'number'generator'(PRNG)' PRNG'takes'a'short,'truly'random'secret'seed'and' expands'it'into'a'long' randomwlooking 'sequence' E.g.,'128Wbit'seed'into'a'10 6 Wbit'' '''pseudowrandom'sequence' No'efficient'algorithm'can'tell' this'sequence'from'truly'random' Ciphertext(Key,Msg)=Msg PRNG(Key)' Message'processed'bit'by'bit'(unlike'cipher)' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 7'
8 Block$Ciphers$ Operates'on'a'single'chunk'( block )'of'plaintext' For'example,'64'bits'for'DES,'128'bits'for'AES' Each'key'defines'a'different'permutation' Same'key'is'reused'for'each'(can'use'short'keys)' Plaintext' Key' Ciphertext' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 8'
9 Permutations$ For'NWbit'input,'2 N!'possible'permutations' Idea'for'how'to'use'a'keyed'permutation:'split'plaintext'into' blocks;'for'each'use'secret'key'to'pick'a'permutation' Without'the'key,'permutation'should' look'random ' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 9'
10 Block$Cipher$Security$ Result'should'look'like'a'random'permutation'on' the'inputs' Recall:''not'just'shuffling'bits.''NWbit' permutes'over'2 N 'inputs.' Only'computational'guarantee'of'secrecy' Not'impossible'to'break,'just'very'expensive' If'there'is'no'efficient'algorithm'(unproven'assumption!),'then' can'only'break'by'brutewforce,'tryweverywpossiblewkey'search' Time'and'cost'of'breaking'the'exceed'the'value' and/or'useful'lifetime'of'protected'information' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 10'
11 Block$Cipher$Operation$(Simplified)$ Block'of'plaintext' Key' S' S' S' S' S' S' S' S' repeat'for'several'rounds' S' S' S' S' Block'of'ciphertext' Add'some'secret'key'bits' to'provide'confusion' Each'SWbox'transforms'' its'input'bits'in'a'' randomwlooking 'way'' to'provide'diffusion'' (spread'plaintext'bits'' throughout'ciphertext)' Procedure'must'be'reversible'' (for'decryption)' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 11'
12 Standard$Block$Ciphers$ DES:$Data$Encryption$Standard$ Feistel'structure:'builds'invertible'function'using'nonW invertible'ones' Invented'by'IBM,'issued'as'federal'standard'in'1977' 64Wbit'blocks,'56Wbit'key'+'8'bits'for'parity' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 12'
13 DES$and$56$bit$keys$ 56'bit'keys'are'quite'short' 1999:''EFF'DES'Crack'+'distributed'machines' <'24'hours'to'find'DES'key' DES'WWW>'3DES' 3DES:'DES'+'inverse'DES'+'DES'(with'2'or'3'diff'keys)' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 13'
14 Standard$Block$Ciphers$ DES:$Data$Encryption$Standard$ Feistel'structure:'builds'invertible'function'using'nonW invertible'ones' Invented'by'IBM,'issued'as'federal'standard'in'1977' 64Wbit'blocks,'56Wbit'key'+'8'bits'for'parity' ' AES:$Advanced$Encryption$Standard$ New'federal'standard'as'of'2001' NIST:'National'Institute'of'Standards'&'Technology' Based'on'the'Rijndael'algorithm' Selected'via'an'open'process' 128Wbit'blocks,'keys'can'be'128,'192'or'256'bits' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 14'
15 Encrypting$a$Large$Message$ So,'we ve'got'a'good'cipher,'but'our' plaintext'is'larger'than'128wbit'size' ' 128Rbit$plaintext$ (arranged'as'4x4'array'of'8wbit'bytes)' 128Wbit'ciphertext' What'should'we'do?' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 15'
16 Electronic$Code$Book$(ECB)$Mode$ plaintext' key' key' key' key' key' ciphertext' Identical'blocks'of'plaintext'produce'identical'blocks'of'ciphertext' No'integrity'checks:'can'mix'and'match'blocks' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 16'
17 Information$Leakage$in$ECB$Mode$ Encrypt'in'ECB'mode' [Wikipedia]' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 17'
18 Cipher$Block$Chaining$(CBC)$Mode:$Encryption$ plaintext' Initialization' vector' ' ' ' ' (random)' key' key' key' key' Sent'with'ciphertext' (preferably'encrypted)' ciphertext' Identical'blocks'of'plaintext'encrypted'differently' Last'cipherdepends'on'entire'plaintext' Still'does'not'guarantee'integrity' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 18'
19 CBC$Mode:$Decryption$ Initialization' plaintext' vector' ' ' ' ' key' key' key' key' decrypt' decrypt' decrypt' decrypt' ciphertext' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 19'
20 ECB$vs.$CBC$ AES'in'ECB'mode' AES'in'CBC'mode' Similar'plaintext' blocks'produce' similar'ciphertext' blocks'(not'good!)' [Picture'due'to'Bart'Preneel]' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' slide'20' 20'
21 CBC$and$Electronic$Voting$ plaintext' Initialization' vector' (supposed'to' 'be'random)' ' ' ' ' key' key' key' key' DES' DES' DES' DES' ciphertext' Found'in'the'source'code'for'Diebold'voting'machines:' DesCBCEncrypt((des_c_block*)tmp, (des_c_block*)record.m_data, totalsize, DESKEY, NULL, DES_ENCRYPT) 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 21'
22 Counter$Mode$(CTR):$Encryption$ Initial'ctr' (random)' ctr' ctr+1' ctr+2' ctr+3' Key' Key' Key' Key' pt'' pt' pt' pt' ciphertext' Identical'blocks'of'plaintext'encrypted'differently' Can'compute'in'parallel'(unlike'CBC)' Still'does'not'guarantee'integrity;'Fragile'if'ctr'repeats'
23 Counter$Mode$(CTR):$Decryption$ Initial'ctr' ctr' ctr+1' ctr+2' ctr+3' Key' Key' Key' Key' ct' ' ct' ' ct' ' ct' ' pt' pt' pt' pt' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 23'
24 When$is$an$Encryption$Scheme$ Secure?$ Hard'to'recover'the'key?' What'if'attacker'can'learn'plaintext'without'learning'the' key?' Hard'to'recover'plaintext'from'ciphertext?' What'if'attacker'learns'some'bits'or'some'function'of' bits?' Fixed'mapping'from'plaintexts'to'ciphertexts?' What'if'attacker'sees'two'identical'ciphertexts'and'infers' that'the'corresponding'plaintexts'are'identical?' Implication:'encryption'must'be'randomized'or'stateful' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 24'
25 How$Can$a$Cipher$Be$Attacked?$ Attackers'knows'ciphertext'and'encryption'algthm' What'else'does'the'attacker'know?'Depends'on'the' application'in'which'the'is'used!' ' CiphertextWonly'attack' KPA:'KnownWplaintext'attack'(stronger)' Knows'some'plaintextWciphertext'pairs' CPA:'ChosenWplaintext'attack'(even'stronger)' Can'obtain'ciphertext'for'any'plaintext'of'his'choice' CCA:'ChosenWciphertext'attack'(very'strong)' Can'decrypt'any'ciphertext'except'the'target' ' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 25'
26 Chosen$Plaintext$Attack$ cipher(key,pin)' PIN'is'encrypted'and' transmitted'to'bank' Crook'#1'changes' his'pin'to'a'number' of'his'choice' Crook'#2'eavesdrops' on'the'wire'and'learns' ciphertext'corresponding' to'chosen'plaintext'pin' 'repeat'for'any'pin'value' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 26'
27 Very$Informal$Intuition$ Minimum'security'' requirement'for'a'' modern'encryption'scheme' Security'against'chosenWplaintext'attack'(CPA)' Ciphertext'leaks'no'information'about'the'plaintext' Even'if'the'attacker'correctly'guesses'the'plaintext,'he' cannot'verify'his'guess' Every'ciphertext'is'unique,'encrypting'same'message' twice'produces'completely'different'ciphertexts' Security'against'chosenWciphertext'attack'(CCA)' Integrity'protection' 'it'is'not'possible'to'change'the' plaintext'by'modifying'the'ciphertext' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 27'
28 Why$Hide$Everything?$ Leaking'even'a'little'bit'of'information'about'the' plaintext'can'be'disastrous' Electronic'voting' 2'candidates'on'the'ballot'(1'bit'to'encode'the'vote)' If'ciphertext'leaks'the'parity'bit'of'the'encrypted' plaintext,'eavesdropper'learns'the'entire'vote' Also,'want'a'strong'definition,'that'implies'other' definitions'(like'not'being'able'to'obtain'key)' 4/14/16' CSE'484'/'CSE'M'584'W'Spring'2016' 28'
Episode 13 The Beale Ciphers
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