All Questions
Tagged with matrix-multiplication diffusion
5 questions
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56
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Is there a square matrix with applications in Cryptography such that the determinant of this matrix is 0 and all its sub minors are non-singular?
I am looking for a square matrix whose determinant is 0, however, all sub-minors of this matrix are non singular. This matrix needs to have applications in Cryptography. The matrix may be over any ...
2
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1
answer
264
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How to calculate the branch number of a linear mapping?
Is there an efficient algorithm which can be used to determine the branch number of any given linear mapping?
1
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1
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721
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How do we reduce the multiplications in the AES mix column layer using $x^4 +1$
I recently learned AES uses $x^4 +1$ to reduce the multiplications in the MixCol layer. However, I used $p(x) = x^8 + x^4 + x^3 + x + 1$ not knowing it was the wrong polynomial and got the correct ...
2
votes
3
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977
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How can I get the binary form of AES's MDS matrix in MixColumns tranformation?
I need to write a procedure for calculating the MixColumns's operation result in the following form:
$M*X^T,$
where $M$ is a 128x128 binary matrix, $X$ is a 128-bit vector (the state).
My question ...
3
votes
1
answer
707
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Prove the branch of number of Advanced Encryption Standard
In the Advanced Encryption Standard (AES) document: page 27 section 7.3.1, It defines branch number. It said
" Let F be a linear transformation acting on byte vectors and let the
byte weight ...