0

Suppose $ a, b, c, n \in \mathbb{Z}, \qquad$ where $n>0, \qquad$ then $a\cdot b \texttt{ mod } n = c$ is called modular multiplication.

The article that I am reading mentions Modular and Residue multiplication differently. So what does residue multiplication mean?

user110219
  • 856
  • 1
  • 6
  • 16

1 Answers1

1

I think, modular multiplication means that we multiply residue classes, i.e., $[a]\cdot [b]=[ab]$, where $[a]$ is a residue class in the ring $\mathbb{Z}/n\mathbb{Z}$. See also this MSE question. So it is the same operation, just emphasising different aspects (modular resp. residue class).

Community
  • 1
Dietrich Burde
  • 130,978