메뉴 건너뛰기




Volumn 6087 LNCS, Issue , 2010, Pages 180-195

Constructing tower extensions of finite fields for implementation of pairing-based cryptography

Author keywords

Euler's conjectures; Extension fields; Pairing implementation; Pairing based cryptosystems

Indexed keywords

ELLIPTIC CURVE; EULER'S CONJECTURES; EXTENSION FIELD; FINITE EXTENSION; FINITE FIELDS; IRREDUCIBLE POLYNOMIALS; PAIRING IMPLEMENTATION; PAIRING-BASED CRYPTOGRAPHY; PAIRING-BASED CRYPTOSYSTEMS;

EID: 79956294037     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-13797-6_13     Document Type: Conference Paper
Times cited : (50)

References (23)
  • 3
    • 84957677506 scopus 로고    scopus 로고
    • Optimal extension fields for fast arithmetic in public-key algorithms
    • Advances in Cryptology - CRYPTO '98
    • Bailey, D., Paar, C.: Optimal extension fields for fast arithmetic in public-key algorithms. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol. 1462, pp. 472-485. Springer, Heidelberg (1998) (Pubitemid 128119025)
    • (1998) Lecture Notes in Computer Science , Issue.1462 , pp. 472-485
    • Bailey, D.V.1    Paar, C.2
  • 4
    • 84937428623 scopus 로고    scopus 로고
    • Efficient algorithms for pairing-based cryptosystems
    • Yung, M. (ed.). CRYPTO 2002. Springer, Heidelberg
    • Barreto, P.S.L.M., Kim, H.Y., Lynn, B., Scott, M.: Efficient algorithms for pairing-based cryptosystems. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 354-368. Springer, Heidelberg (2002)
    • (2002) LNCS , vol.2442 , pp. 354-368
    • Barreto, P.S.L.M.1    Kim, H.Y.2    Lynn, B.3    Scott, M.4
  • 5
    • 35248835023 scopus 로고    scopus 로고
    • Constructing elliptic curves with prescribed embedding degrees
    • Cimato, S., Galdi, C., Persiano, G. (eds.) SCN 2002. Springer, Heidelberg
    • Barreto, P.S.L.M., Lynn, B., Scott, M.: Constructing elliptic curves with prescribed embedding degrees. In: Cimato, S., Galdi, C., Persiano, G. (eds.) SCN 2002. LNCS, vol. 2576, pp. 263-273. Springer, Heidelberg (2003)
    • (2003) LNCS , vol.2576 , pp. 263-273
    • Barreto, P.S.L.M.1    Lynn, B.2    Scott, M.3
  • 8
    • 50049122814 scopus 로고    scopus 로고
    • Implementing cryptographic pairings over Barreto-Naehrig curves
    • Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds.) Pairing 2007. Springer, Heidelberg
    • Devegili, A.J., Scott, M., Dahab, R.: Implementing cryptographic pairings over Barreto-Naehrig curves. In: Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds.) Pairing 2007. LNCS, vol. 4575, pp. 197-207. Springer, Heidelberg (2007)
    • (2007) LNCS , vol.4575 , pp. 197-207
    • Devegili, A.J.1    Scott, M.2    Dahab, R.3
  • 11
    • 67650659199 scopus 로고    scopus 로고
    • Endomorphisms for faster elliptic curve cryptography on a large class of curves
    • Joux, A. (ed.) EUROCRYPT 2009. Springer, Heidelberg
    • Galbraith, S., Lin, X., Scott, M.: Endomorphisms for faster elliptic curve cryptography on a large class of curves. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 518-535. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.5479 , pp. 518-535
    • Galbraith, S.1    Lin, X.2    Scott, M.3
  • 14
    • 52149103365 scopus 로고    scopus 로고
    • Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field
    • Galbraith, S.D., Paterson, K.G. (eds.) Pairing 2008. Springer, Heidelberg
    • Kachisa, E., Schaefer, E., Scott, M.: Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field. In: Galbraith, S.D., Paterson, K.G. (eds.) Pairing 2008. LNCS, vol. 5209, pp. 126-135. Springer, Heidelberg (2008)
    • (2008) LNCS , vol.5209 , pp. 126-135
    • Kachisa, E.1    Schaefer, E.2    Scott, M.3
  • 16
    • 64249099087 scopus 로고    scopus 로고
    • Efficient and generalized pairing computation on abelian varieties
    • Lee, E., Lee, H., Park, C.: Efficient and generalized pairing computation on abelian varieties. IEEE Trans. Information Theory 55, 1793-1803 (2009)
    • (2009) IEEE Trans. Information Theory , vol.55 , pp. 1793-1803
    • Lee, E.1    Lee, H.2    Park, C.3
  • 17
    • 0003591156 scopus 로고    scopus 로고
    • Reciprocity laws: From euler to eisenstein
    • Springer, Heidelberg
    • Lemmermeyer, F.: Reciprocity Laws: From Euler to Eisenstein. Springer Monographs in Mathematics. Springer, Heidelberg (2000)
    • (2000) Springer Monographs in Mathematics
    • Lemmermeyer, F.1
  • 19
    • 12144259888 scopus 로고    scopus 로고
    • Optimal tower fields
    • DOI 10.1109/TC.2004.83
    • Baktir, S., Sunar, B.: Optimal tower fields. IEEE Transactions on Computers 53(10), 1231-1243 (2004) (Pubitemid 40108151)
    • (2004) IEEE Transactions on Computers , vol.53 , Issue.10 , pp. 1231-1243
    • Baktir, S.1    Sunar, B.2
  • 21
    • 35048849890 scopus 로고    scopus 로고
    • Compressed pairings
    • Franklin, M. (ed.) CRYPTO 2004. Springer, Heidelberg
    • Scott, M., Barreto, P.: Compressed pairings. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 140-156. Springer, Heidelberg (2004), http://eprint.iacr.org/2004/032/
    • (2004) LNCS , vol.3152 , pp. 140-156
    • Scott, M.1    Barreto, P.2
  • 22
    • 79956309379 scopus 로고    scopus 로고
    • Universally constructing 12-th degree extension field for ate pairing
    • Report 2009/623
    • Shirase, M.: Universally constructing 12-th degree extension field for ate pairing. Cryptology ePrint Archive, Report 2009/623 (2009), http://eprint.iacr.org/
    • (2009) Cryptology EPrint Archive
    • Shirase, M.1
  • 23
    • 0003357475 scopus 로고
    • The arithmetic of elliptic curves
    • Springer, New York
    • Silverman, J.H.: The Arithmetic of Elliptic Curves. Graduate Texts in Mathematics, vol. 106. Springer, New York (1986)
    • (1986) Graduate Texts in Mathematics , vol.106
    • Silverman, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.