Qed means Quod Erat Demonstrandum.

I maintain a couple websites worth visiting:

  • My personal website [1]
  • The Better String Library [2]

Pay no attention to the below. I have no idea where else to put a library of "editing tricks for Wikipedia".

Implementation tricks

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When developing algorithms for Galois field computation on small Galois fields, a common performance optimization approach is to find a generator g and use the identity:

 

to implement multiplication as a sequence of table look ups for the logg(x) and g(x) functions and an integer addition operation[1]. This exploits the property that all finite fields contain generators. In the Rijndael field example, the polynomial x + 1 (or {03}) is one such generator, since it is irreducible.

  1. ^ {A|B}