pollard

Jonathan Pollard managed to steal quite a bit of classified paper from the US during his tenure.

Israel certainly counts as a US ally, but Jonathan Pollard is serving a long sentence for passing it intelligence.

In the Pollard Rho method of factoring you compute f(x) repeatedly, and need to find somewhere that it repeats.

The number field sieve came from independent efforts, started by ElGamal [6], Coppersmith et al [7], and Pollard [8].

Michael J Pollard (who is 74 and still with us, was awesome in this episode).

For extending slavery beyond the borders of south, see the quotes of Edward Pollard and Albert Gallatin Brown at the end of the post.

When you use factoring algorithms other than simple trial division - things like Pollard rho and its ilk - you are not guaranteed to get the smallest factor(s) first.

Something like Pollard rho requires no structure.

The Pollard Rho algorithm is not a fast one, running in expected time proportional to the square root of the factor found, which is usually (but not always) the smallest factor.

Also, mummy darling and Vicky Pollard still want an iPhone as do I because it's just nice [2] and not some lump of soulless plastic farted out of a tellytubby.

My experience as someone who is active in research in this exact field (mathematical cryptanalysis) is that generic techniques for discrete logarithms, such as Pollard rho or the number field sieve, do transfer well to integer factorization, but more specific techniques such as Joux's latest function field sieve tend to be harder to transfer from one setting to the other.

Disclosures relating to, e.g., China or Europe are non-treasonous, as we are not at war with any of those states; in the same way, Jonathan Pollard was convicted of espionage due to his spying against the US for Israel, but his actions did not fit the definition of treason.

I don't need to worry about fighting any needless battles and I can just get on with programming." - Martin Pollard "An astonishing work, genius!

It also mentions the applicability beyond the explicit linked list, in applications such as integer factoring (Pollard Rho[3]).

Or give secrets to Israel (like Jonathan Pollard) or China (like Peter Lee) or Russia (like Robert Hanssen)?

What you actually care about is the attacker effort using Pollard's Rho taking into account the whole curve and all its parameters.