Mersenne: Re: Question on repeated squarings in the frequency domain

2002-09-11 Thread Colin Percival
At Tue, 10 Sep 2002 15:33:17 EDT, [EMAIL PROTECTED] wrote: In that sense, floating-point FFT and NTT are similar - in both cases you need enough bits to accomodate the full convolution output digits. The only advantage NTT has here is that you don't sacrifice any bits of your computer words to

Mersenne: Re: Question on repeated squarings in the frequency domain

2002-09-10 Thread EWMAYER
Brendan Younger [EMAIL PROTECTED] wrote: I know there has been some discussion on this list about the theoretical possibility of staying in frequency space and doing a bunch of point-wise squarings in there instead of computing the inverse DWT after every iteration. Now, I'm not suggesting

Mersenne: Re: Question on repeated squarings in the frequency domain

2002-09-10 Thread Brendan Younger
On Tuesday, September 10, 2002, at 01:00 PM, [EMAIL PROTECTED] wrote: Brendan Younger [EMAIL PROTECTED]> wrote: >I know there has been some discussion on this list about the >theoretical possibility of staying in frequency space and doing a bunch >of point-wise squarings in there instead of

Mersenne: Re: Question on repeated squarings in the frequency domain

2002-09-10 Thread EWMAYER
In a message dated 9/10/2002 11:47:24 AM Pacific Daylight Time, [EMAIL PROTECTED] writes: Let me see if I understand correctly. Most of the literature I've seen dealing with NTTs for large-integer multiplication has always said to pick a field with size (input values)^2 so that you get the