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Hashing and You mixing it up with checksums, associative arrays and more http://en.wikipedia.org/wiki/File:Hashegg.jpg
What is "hashing"? Hashing literally means to "mix it up" hashing in the sense we are going to discuss is the simple mapping of data to a key, often times the key is simply the some trivially simple preconfigured arrangement, like the integers used in common array indexing schemes. So what are some of the uses of "hashes"...
Hashing Functions Forms trivial complex cryptography Application counting caching/searching heuristics
Counting... Hash tables can be used to count and find duplicates very cheaply due to the nature of their structure. 油You simply increment a key term. You can "massage" the keys first, like in the case of trivial differences like uppercase letters in words.
Caching... Hash tables are good for indexing and searching in general, and thus are good for keeping a cache table as well. The advantages of this are only shown as the datasets being searched, and thus indexed, are sufficiently large that you can no longer use a trivial hashing scheme.
Heuristics... hash tables can be used to find "similar" data cheaply for many of the same reasons it can be used to keep track of duplicate data. 油By assigning like keys to similar data you can then enumerate however you wish to see where patterns lie. It's for this same reason that you need to be careful NOT to do this for checksums and cryptography applications in general...
Birthday Paradox/Attack 23 people =~ 50% 57 people =~ 99% 200 people = 99.999999999% this is not intuitive to most people, but is due to the fact that no TWO people can have the SAME birthday, not choose some day and see if anyone has that SINGLE day in a year. Birthday Attacks Named due to the paradox. 油Various attacks based on weak hashing algorithms for wireless networks, digital signatures, man in the middle attacks, etc. 油
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Hashing and you

  • 1. Hashing and You mixing it up with checksums, associative arrays and more http://en.wikipedia.org/wiki/File:Hashegg.jpg
  • 2. What is "hashing"? Hashing literally means to "mix it up" hashing in the sense we are going to discuss is the simple mapping of data to a key, often times the key is simply the some trivially simple preconfigured arrangement, like the integers used in common array indexing schemes. So what are some of the uses of "hashes"...
  • 3. Hashing Functions Forms trivial complex cryptography Application counting caching/searching heuristics
  • 4. Counting... Hash tables can be used to count and find duplicates very cheaply due to the nature of their structure. 油You simply increment a key term. You can "massage" the keys first, like in the case of trivial differences like uppercase letters in words.
  • 5. Caching... Hash tables are good for indexing and searching in general, and thus are good for keeping a cache table as well. The advantages of this are only shown as the datasets being searched, and thus indexed, are sufficiently large that you can no longer use a trivial hashing scheme.
  • 6. Heuristics... hash tables can be used to find "similar" data cheaply for many of the same reasons it can be used to keep track of duplicate data. 油By assigning like keys to similar data you can then enumerate however you wish to see where patterns lie. It's for this same reason that you need to be careful NOT to do this for checksums and cryptography applications in general...
  • 7. Birthday Paradox/Attack 23 people =~ 50% 57 people =~ 99% 200 people = 99.999999999% this is not intuitive to most people, but is due to the fact that no TWO people can have the SAME birthday, not choose some day and see if anyone has that SINGLE day in a year. Birthday Attacks Named due to the paradox. 油Various attacks based on weak hashing algorithms for wireless networks, digital signatures, man in the middle attacks, etc. 油