I had this wild idea...
Is it possible to side-step the generation of 'toxic waste' and go directly to the desired data?
If private keys are just about any random number, is it true that there are just as many unique public keys within a set number space?
Even if there are clumps of private keys that happen to generate the same public key, is it possible to generate bits and simply treat them as a public key? Without a coresponding private key, are there any methods to test whether or not a given bit string has the qualities of a public key?