Score:1

How does one produce this in the linear cryptanalysis of DES

ma flag

I understand how this linear approximation board below is produced, enter image description here

but I can't understand how this second board is produced using the first one enter image description here

and finally how the pilling-up lemma values are calculated

( o in S 12 the approx. Λ 1 = X5 XOR X7 XOR X8 XOR Y 6 has bias +1/4

o in S 22 the approx. Λ 2 = Y 6‘ XOR Z 6 XOR Z 8 has bias –1/4

o in S 32 the approx. Λ 3 = Z 6‘ XOR W6 XOR W8 has bias –1/4

o in S 34 the approx. Λ 4 = Z 1‘ 4 XOR W14 XOR W16 has bias –1/4)

Which finally leads to this:

enter image description here

I know this might seem like a lot but I am really stuck and all the documentations and articles I find online aren't really being much of a help, and from what I've seen here people seem really helpful on stuff like this.

Thanks in advance!

kelalaka avatar
in flag
By searching, see Matsui's paper about how many searches they did. The Hayes article is just an introduction to the field...
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