maher ben abdessalem

Unveiling the Structure of Cayley-Dickson Algebras: Zero Divisor Counting and Listing, and a Novel Sign Compression Scheme

This paper presents a comprehensive computational and empirical investigation into the structure and properties of Cayley-Dickson algebras ($A_x$, dimension $2^x$). We establish and validate an explicit formula, $N(x) = \frac{(2^x - 2)(2^x - 4)(2^x - 8)}{16}$, which accurately en...