Re: [P1363:] Possible error in factors in class polynomial (Annex A of P1363-2000)
Late follow-up on this. Has anyone else successfully duplicated the
annex in question?
Cheers,
William
> -----Original Message-----
> From: Martin Thiim [mailto:martin@THIIM.NET]
> Sent: Monday, March 03, 2008 7:30 PM
> To: STDS-P1363-DISCUSS@LISTSERV.IEEE.ORG
> Subject: [P1363:] Possible error in factors in class
> polynomial (Annex A of P1363-2000)
>
> Hello,
>
> I have encountered a problem reproducing some results in
> Annex A of the P1363-2000 standard.
>
> On page 147 an example calculation is provided for deriving a
> reduced class polynomial. I can't reproduce the numbers in
> either a Java or a Maple implementation of the algorithms.
> Additionally, the Maple & Java implementations agree. It's of
> course a possibility that I've implemented the algorithm
> wrongly twice. Interestingly, for the first factor in the
> product making up w_D (the factor involving [A,B,C] =
> [1,0,71]), I actually get the same result as in the standard.
> But for, say, the second-last factor (which, like the first,
> uses f0) I get:
>
> e^(-5*i*pi/12)/sqrt(2) *f0(5,2,15) = 0.187703... - 0.8628314*i
>
> The standard reports:
>
> e^(-5*i*pi/12)/sqrt(2) *f0(5,2,15) = -0.268859... + 0.84108577401*i
>
> I've attached a Maple sheet that does this calculation. Note
> that in this sheet, I've let f0 take the parameters A,B,D
> instead of A,B,C since f0 actually doesn't use the C
> parameter for anything, but does use D in the theta
> calculation. This sheet shows the calculation of the first
> and the second-last factor.
>
> This could be an error in the standard (either the numericals
> provided or in the formulas), but it is of course also
> possible I made a mistake or that there's a numerical issue
> that somehow affects Java and Maple the same way. I would
> really like to hear your thoughts. Thank you in advance.
>
> Best regards,
>
> Martin Thiim
>
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