Art

J-GLOBAL ID：201002229821936926   Reference number：10A1153779

A Relation between Self-Reciprocal Transformation and Normal Basis over Odd Characteristic Field

奇数特性フィールドにおける自己相反変換と正規基底間の相関

Author (3)： KOBAYASHI Shigeki (Shinshu Univ., JPN) ,  NOGAMI Yasuyuki (Okayama Univ., JPN) ,  SUGIMURA Tatsuo (Shinshu Univ., JPN)
Material： IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Institute of Electronics, Information and Communication Engineers)  (IEICE Trans Fundam Electron Commun Comput Sci (Inst Electron Inf Commun Eng))
Volume： E93-A  Issue： 11  Page： 1923-1931  Publication year： Nov. 01, 2010 
JST Material Number： F0699C  ISSN： 0916-8508  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *odd number ,  *reciprocity ,  *regular expression ,  *basis ,  irreducible representation ,  polynomial ,  conjugation

JST classification (1)： Code theory  (ND02030R)

Reference (18)：

• [1] Y. Nogami, M. Akane, Y. Sakemi, H. Kato, and Y. Morikawa, “Integer variable χ-based ate pairing, ” Pairing 2008, LNCS 5209, pp.178-191, Springer-Verlag, 2008.
• [2] Y. Nogami, Y. Sakemi, T. Okimoto, K. Nekado, M. Akane, and Y. Morikawa, “Scalar multiplication using frobenius expansion over twisted elliptic curve for ate pairing based cryptography, ” IEICE Trans. Fundamentals, vol.E92-A, no.1, pp.182-189, Jan. 2009.
• [3] S. Gao, “Normal bases over finite fields, ” Doctoral thesis, Waterloo, Ontario, Canada, 1993.
• [4] H. Nasu, Y. Nogami, R. Namba, and Y. Morikawa, “A method for constructing a self-dual normal basis in odd characteristic extension field, ” 8th International Conference on Finite Fields and Applications, pp.49-52, 2007.
• [5] H. Kato, Y. Nogami, T. Yoshida, and Y. Morikawa, “Cyclic vector multiplication algorithm based on a special class of Gauss period normal basis, ” ETRI Journal, vol.29, no.6, pp.769-778, 2007, available at http://etrij.etri.re.kr/Cyber/servlet/BrowseAbstract?paperid=RP0702-0040

Terms in the title (5)： 奇数 ,  フィールド ,  自己 ,  基底 ,  相関