in the list of hard problems, each one should be preceded by 'the'
par 2: the grammar here is strange. You could write 'Although it would be sufficient to attack any of these problems to attack paiting-based crytography, the only known attacks thus far attack the discrete logarithm problem directly, so we focus on the discrete logarithm in this memo.'
par 3: 'The well-known algorithms for solving
the discrete logarithm problems include Pollard's rho algorithm
[Pollard78], Index Calculus [HR83] and so on.'
->'The best known algorithms for solving
the discrete logarithm problems are based on Pollard's rho algorithm
[Pollard78] and Index Calculus [HR83].'
Comments from Chloe (Expert Reviewer)