Implementing the Tangent Graeffe root finding method
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Title 
Implementing the Tangent Graeffe root finding method

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CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
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2020

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English

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2020

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Vancouver

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Abstract 
The tangent Graeffe method has been developed for the efficient computation of single roots of polynomials over finite fields with multiplicative groups of smooth order. It is a key ingredient of sparse interpolation using geometric progressions, in the case when blackbox evaluations are comparatively cheap. In this paper, we improve the complexity of the method by a constant factor and we report on a new implementation of the method and a first parallel implementation.

Keywords  fast root finding over finite fields sparse polynomial interpolation 
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00:15
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04:21
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05:18
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08:15
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10:01
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10:25
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13:59
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17:40
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19:49
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20:50
and just mean she will we currently working on. i have wondered with the chilly do the croix king we factor of holyrood decree wonder you a kid and nine is a possible factor all o'neal one do you agree. for say a sixty the press can we do that is also can we do a star center croatian with a billion. you know clearly we can do because strips of hope whole interview with the union terms he couldn't eat eight gigabytes to store the coal stations and jeanine about aging a guide to the roots the hour or so we really need a sixteen gigabyte poor and put an hour.
21:39
so we have succeeded able to do in quite a reasonable time to time you as a stranger on the internal even try to six a.t.c. been has changed course so this is using change course and we were able to do it in a hundred twenty one particular computer as hundred twenty eight you. so we had to squeeze say sarah order to achieve me just say what the most difficult part was.
22:08
and in the year we have to agree to st gallen o'neill said jose only you're here is a very big iss five million. in space needed to do their three years because of three parliamentary most inane i need to use an area the size in in his to paying the street bigger the creek to face. year and. the total space needed his three year stress created team needs tree or a zoo size in this and struggle and call it got so as to march. i'm so we made to changes in order to get staged or christian recently to use a small rural years this increases the time ago. so that's a huge factor to in space the main change who wish to to the not too used to shine for to do in the valuations using a direct to screen for each transform the sizes five times to train and so we can do this using find a few tees and forestry. training to the trainer in. if a cheese of size five possible in the iraq war we do this we get the true face turned from trees trust to three and three is one point two mm issue just one shot me. which is feasible. now other thing we're currently working on is one of the constants in a two hour in it can generate a world of indicators just how would we want to get a tight now and on foster injury he is an injustice and how should you need to look at costs so weird.
24:03
work out a constant in the greek transform to be one soon each the will and claimed he she or he is driving to use the choice. and the other major that shows up and rage transform our the is the crowd a tree. a week in cuba credit to the home you for the roots with got so fraught and that carson is a quarter to quarter any energy low in indicators us and has how will this two main congregations are cured is a larger extent she asian in his g.c.t. issue. and for the module extreme situations we end up using using year fifteen moral we've got because you can't sit and six into the cd run your records and count by twelve should occur in to finish was a communiqu a concert. and if you look at the destruction of the c.g.i. with them in mortal computer algebra. the steering made use of cards. we've got costs and can you guarantee dry for all twenty four with current account to forage process according to google. to working or a concert in stores year on stage procedure talking to you.
25:32
they're an interesting. your interest should not be a good a true we share these are more complete version of the aig are on our trust in we continue to work hard.