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Cryptology
WALSH Spectrum of a BOOLEan Map |
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Input the Algebraic Normal Form of your map into the input field.
Each line is for one component. (For an example see below.)
Example: Correspondence of indices in bit vectors and
Monomials in the indeterminates
(T1, ..., Tn):
0 <--> 00 <--> 1,
1 <--> 01 <--> T2,
2 <--> 10 <--> T1,
3 <--> 11 <--> T1T2.
Therefore the bit vector u = 0101 has components
u00 = 0, u01 = 1,
u10 = 0, u11 = 1,
and the pair of bit vectors
0101
1011
is the representation of the map F22 --->
F22 whose first component has ANF
0 + 1 T2 +
0 T1 + 1 T1T2
= T2 + T1T2
and whose second component has ANF
1 + 0 T2 +
1 T1 + 1 T1T2
= 1 + T1 + T1T2
Klaus Pommerening, 19 December 2002;
last change: 19 December 2002.