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Degree 4 vs degree 6   Message List  
Reply | Forward Message #2420 of 2469 |
Re: Degree 4 vs degree 6

--- In ggnfs@yahoogroups.com, "chris2be8" <chris2be8@...> wrote:
> When factoring something like a^3k-1 I first algebraically reduce it to
(a^2k+a^k+1)(a^k-1). To crack the first part I need to convert it into a degree
4 or 6 poly, where is the crossover point where I get better results from degree
6?

Crossover from degree 4 to 6 (when 5 is not possible) is about difficulty
145-150 digits. Note: One sieving side, algebraic or rational, will be much
faster than the other, and this choice is going to be opposite for 4 vs 6. In
the grey area around 150 digits, some trial sieving will help to decide. Also,
using uneven bounds (r/alim, lpbr/a) should be tried -- with the right choice,
these can save some sieving time.





Tue Jul 7, 2009 3:53 pm

batalovs
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Message #2420 of 2469 |
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Hello, When factoring something like a^3k-1 I first algebraically reduce it to (a^2k+a^k+1)(a^k-1). To crack the first part I need to convert it into a degree...
chris2be8
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Jul 3, 2009
4:01 pm

... Crossover from degree 4 to 6 (when 5 is not possible) is about difficulty 145-150 digits. Note: One sieving side, algebraic or rational, will be much...
Serge Batalov
batalovs
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Jul 7, 2009
3:53 pm
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