Polynomial Basis Squaring
Finally have successfully found some spare time to do coding to solve this polynomial squaring:
And this is the result, x^5 + x + 1 :
Finally have successfully found some spare time to do coding to solve this polynomial squaring:
And this is the result, x^5 + x + 1 :
Apparently converting from one basis to another like from polynomial to normal basis is not as easy as I thought, hmm… have spent days scribbling, thinking, frustated, madly curious, and end up browsing several papers about that and being succesfully diverted from the main target of doing paper on plaintext embedding, oh my!
Let me digest some more papers I have just downloaded 30secs ago, and will post something useful here as soon as possible 😉
[big headache continues…]
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Again, from here:
1. How to convert from polynomial to normal bases?
Answer:
GF element can be represented in Polynomial Basis (PB) or Normal Basis (NB).
For example we have polynomial
The PB representation in is
If be a field with elements and an element of it such that elements are linearly dependent. Then this set forms a normal basis for
The NB representation of elements in will only use 3 elemens , dan .
Answering #2 from here:
2. For what conditions ONB representation is available?
Answer: One condition is when the generates GF elements which are linearly independent.
rudi 9:37 pm on May 30, 2013 Permalink |
bu, akan lebih cantik kalo nulis polinomnya pake latex,
CG 11:00 am on May 31, 2013 Permalink |
iya belum sempet dirapihin 😀 biasanya saya pake latex for wordpress
Akshay 11:18 pm on July 26, 2013 Permalink |
Hey please mail me this complete C code. sorry I’m not execute this ….please help me…please ..