https://blog.amuralmanji.com/categories/algebraic-analysis/Recent content in Algebraic Analysis onHugoenWed, 15 Oct 2025 19:30:00 +0400https://blog.amuralmanji.com/posts/ae_clefia_aes/Wed, 15 Oct 2025 19:30:00 +0400https://blog.amuralmanji.com/posts/ae_clefia_aes/<p>An interesting Link shows that the <strong>CLEFIA S-box</strong> and the <strong>Rijndael (AES) S-box</strong> are <strong>affine equivalent</strong>—meaning one can be transformed into the other through invertible affine transformations over the finite field $\mathbb{F}_2^{8}$.</p> <p>Formally, two functions ( f ) and ( g ) are affine equivalent if there exist invertible affine mappings ( A ), ( B ), and constants ( a ), ( b ) such that:</p> <p>$$ f(x) = (B \circ g \circ A)(x \oplus a) \oplus b $$</p>