Carry-less product

The carry-less product is an operation used primarily in the context of polynomial arithmetic and in some applications of algebra, particularly in coding theory and cryptography. It is a way of multiplying two numbers or polynomials without carrying over values, meaning that each digit of the product is computed independently. In a carry-less product, when multiplying two numbers, we treat the digits (or coefficients) independently, and the multiplication does not propagate carries as it would in standard arithmetic.