Oh, you're so random

Transcript

1. View Slide

2. select a random element
   

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3. select a random element
   ‘tis one is ok.
   

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6. Information
   Theory
   

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7. hard TOPIC
   Information
   Theory
   

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8. hard TOPIC
   dumb SPEAKER
   +
   Information
   Theory
   

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9. 0≤H(X)≤1
   where X is a discrete
   random variable
   

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10. 0≤H(X)≤1
    where X is a discrete
    random variable
    unpredictable
    

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11. 0≤H(X)≤1
    where X is a discrete
    random variable
    unpredictable
    always
    the same
    

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12. View Slide

13. ask a
    question.
    

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14. View Slide

15. bool is_random(char *bytes, size_t n)
    {
    }
    

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16. bool is_random(char *bytes, size_t n)
    {
    }
    AGHHH
    

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17. UNIFORM
    distribution
    

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18. UNIFORM
    distribution
    

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19. select a random element
    array[rand() % array.size]
    

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20. select a random element
    array[rand() % array.size]
    UNIFORM
    distribution
    

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21. select a random element
    array[rand() % array.size]
    UNIFORM
    distribution
    

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22. select a random element
    array[rand() % array.size]
    UNIFORM
    distribution
    AGHHH
    

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23. This is how you kill
    the RANDOM
    pnrg
    array
    

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24. This is how you kill
    the RANDOM
    a
    pnrg
    array
    

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25. This is how you kill
    the RANDOM
    a
    pnrg
    array
    

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26. This is how you kill
    the RANDOM
    a a
    pnrg
    array
    

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27. This is how you kill
    the RANDOM
    a a
    pnrg
    array
    

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28. This is how you kill
    the RANDOM
    a a a
    pnrg
    array
    

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29. This is how you kill
    the RANDOM
    a a a
    pnrg
    array
    

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30. This is how you kill
    the RANDOM
    a a a
    pnrg
    array
    

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31. This is how you kill
    the RANDOM
    a a a
    b
    pnrg
    array
    

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32. This is how you kill
    the RANDOM
    a a a
    b
    pnrg
    array
    

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33. This is how you kill
    the RANDOM
    a a a
    b b
    pnrg
    array
    

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34. This is how you kill
    the RANDOM
    a a a
    b b
    pnrg
    array
    

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35. This is how you kill
    the RANDOM
    a a a
    b b
    pnrg
    array
    

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36. This is how you kill
    the RANDOM
    a a a
    b b
    pnrg
    array
    

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37. how to FIX:
    

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38. how to FIX:
    1. Random is hard
    

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39. how to FIX:
    1. Random is hard
    2. Run away
    

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40. how to FIX:
    1. Random is hard
    2. Run away
    Math.random() // between 0.0 and 1.0
    Javascript
    

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41. how to FIX:
    1. Random is hard
    2. Run away
    

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42. how to FIX:
    1. Random is hard
    2. Run away
    prng.rand(5..9) #=> one of [5, 6, 7, 8, 9]
    prng.rand(5...9) #=> one of [5, 6, 7, 8]
    Ruby
    

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43. Good.
    

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44. Good.
    (but I don’t care)
    

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46. “PRNGs
    and Hash
    functions
    are in the same
    family of algorithms”
    

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47. View Slide

48. hash tables
    out of nowhere!
    

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49. hash tables
    out of nowhere!
    O(1)
    

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50. hash tables
    out of nowhere!
    O(1) uniform
    

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51. pathological
    average data set:
    O(1)
    

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52. pathological
    average data set:
    O(1)
    

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53. pathological
    average data set:
    O(1) O(n)
    

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54. ONE fix
    

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55. ONE fix
    INT_MAX % size == 0
    

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56. collide
    make them
    

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57. collide
    make them
    • Brute force
    

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58. collide
    make them
    • Brute force
    • MITM
    

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59. collide
    make them
    • Brute force
    • MITM
    • Equivalent substrings
    

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60. collide
    make them
    • Brute force
    • MITM
    • Equivalent substrings
    

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61. collide
    make them
    • Brute force
    • MITM
    • Equivalent substrings
    

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62. collide
    make them
    • Brute force
    • MITM
    • Equivalent substrings
    

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63. collide
    make them
    • Brute force
    • MITM
    • Equivalent substrings
    

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64. collide
    make them
    • Brute force
    • MITM
    • Equivalent substrings
    

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65. problem
    & that’s a
    

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66. problem
    & that’s a
    painful
    comparisons
    

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67. problem
    & that’s a
    painful
    comparisons
    ~700ms
    responses
    

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68. MANY fixes
    

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69. MANY fixes
    (but only one is right)
    

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70. MANY fixes
    (but only one is right)
    1. Limiting request size
    

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71. this is bad and you
    should feel bad!
    MANY fixes
    (but only one is right)
    1. Limiting request size
    

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72. MANY fixes
    (but only one is right)
    2. Changing the hash table
    

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73. MANY fixes
    (but only one is right)
    2. Changing the hash table
    (no comment)
    

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74. MANY fixes
    (but only one is right)
    3. Bring back the random
    

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75. View Slide

76. “Randomness is
    too important
    to be left to
    chance”
    

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77. Thanks.
    “Randomness is
    too important
    to be left to
    chance”
    

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