Optimized methods for squaring in extension fields of degree 2 & 3 #138
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This PR implements more optimized methods for computing squares in the degrees 2 and 3 extension fields. This is in contrast to the old way of squaring which was using a generic multiplication.$2^{32}$ . This will be useful for extension fields that are defined by irreducible polynomials of the form $X^d - \omega$ where $d$ is the degree of the extension and $\omega$ is a field element. In the case of such extension fields, reduction modulo $X^d - \omega$ becomes just a multiplication by $\omega$ and thus a method for multiplying with small constants will be useful.
Also included, is a method for multiplying field elements in 64-bit field with constants smaller than