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Paper Abstract and Keywords
Presentation 2005-09-27 15:10
The Representation of typeII ONB by Self-reciprocal Transformation
Shigeki Kobayashi (Shinshu Univ.), Yasuyuki Nogami (Okayama Univ.), Tatsuo Sugimura (Shinshu Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) This paper make relation of All One Polynomials and Irreducible
Polynomials with TypeIIONB clear, by using polynomial conversion
technique from polynomial of degree m to
polynomial of degree 2m called self-reciprocal transformation and polynomial conversion
technique from polynomial of degree 2m to
polynomial of degree m called self-reciprocal reverse
transformation.

If irreducible polynomial of degree m become All One Polynomial by
self-reciprocal traneformation,we show that original irreducible polynomial of
degree m is irreducible polynomial with TypeIIONB.

When there is TypeIIONB, we show that we can find irreducible polynomial
with TypeIIONB by doing self-reciprocal reverse tranceformation for All
One Polynomial.

As application,we give technique to make an irreducible polynomial of
prime degree.
Keyword (in Japanese) (See Japanese page) 
(in English) Optimal Normal Basis / / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 105, no. 311, IT2005-55, pp. 25-30, Sept. 2005.
Paper # IT2005-55 
Date of Issue 2005-09-20 (IT) 
ISSN Print edition: ISSN 0913-5685
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Conference Information
Committee IT  
Conference Date 2005-09-27 - 2005-09-27 
Place (in Japanese) (See Japanese page) 
Place (in English) Aizu Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) general 
Paper Information
Registration To IT 
Conference Code 2005-09-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) The Representation of typeII ONB by Self-reciprocal Transformation 
Sub Title (in English)  
Keyword(1) Optimal Normal Basis  
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1st Author's Name Shigeki Kobayashi  
1st Author's Affiliation Shinshu University (Shinshu Univ.)
2nd Author's Name Yasuyuki Nogami  
2nd Author's Affiliation Okayama University (Okayama Univ.)
3rd Author's Name Tatsuo Sugimura  
3rd Author's Affiliation Shinshu University (Shinshu Univ.)
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Speaker Author-1 
Date Time 2005-09-27 15:10:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2005-55 
Volume (vol) vol.105 
Number (no) no.311 
Page pp.25-30 
#Pages
Date of Issue 2005-09-20 (IT) 


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