average absolute coefficients of Log g on MQ basis for different X-scaling

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average absolute coefficients of Log g on MQ basis for different X-scaling

For each n consecutive primes d1,...,dn below 100, there are 2^n-1 dots (blue for n=3, yellow for n=4, green for n=5, orange for n=6). For each D in {d1,d2,...,d1*...*dn}, one of these 2^n -1 dots is at horizontal position 1.11/(sqrt(2^n)*Log(u_fun)), where u_fun is the fundamental unit of Q(sqrt(D)). The vertical position is the average absolute coefficient of Log g in the direction of the basis vector corresponding to D, where g ranges over 1000 secret keys for the Q(sqrt(d1),....,sqrt(dn)) cryptosystem. In purple we compare these to the X =Y line.

Added
2016-12-08
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