Scalar multiplication” is a fancy way of saying multiplication by repeated additions
Huh, in every context I’ve seen it used, it has meant vector/scalar multiplication (as opposed to things like vector/vector multiplication). Thanks for defining terms.
I wonder what the origin of this “multiplication by repeated addition” definition is.
Actually it’s the same definition (though restricted to integer scalars): on the one hand you have a group element (could be a vector, could be an ECC point), for which an addition operation is defined. On the other hand you have a scalar, which can multiply the group element.
When the scalar is an integer n, adding the group element to itself n times gives exactly the same result as the vector/scalar multiplication you’re used to.
Huh, in every context I’ve seen it used, it has meant vector/scalar multiplication (as opposed to things like vector/vector multiplication). Thanks for defining terms.
I wonder what the origin of this “multiplication by repeated addition” definition is.
Actually it’s the same definition (though restricted to integer scalars): on the one hand you have a group element (could be a vector, could be an ECC point), for which an addition operation is defined. On the other hand you have a scalar, which can multiply the group element.
When the scalar is an integer n, adding the group element to itself n times gives exactly the same result as the vector/scalar multiplication you’re used to.