메뉴 건너뛰기




Volumn , Issue , 2007, Pages 339-344

Efficient FPGA-based multipliers for double-struck F sign397 and double-struck F sign36.97

Author keywords

Finite field multiplication; FPGA; Pairing based cryptography

Indexed keywords

FIELD PROGRAMMABLE GATE ARRAYS (FPGA); SHIFT REGISTERS;

EID: 48149104069     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FPL.2007.4380669     Document Type: Conference Paper
Times cited : (2)

References (14)
  • 1
    • 48149107543 scopus 로고    scopus 로고
    • D. E. Knuth, The Art of Computer Programming, 2, Seminumerical Algorithms, 3rd ed. Reading MA: Addison-Wesley, 1998, first edition 1969.
    • D. E. Knuth, The Art of Computer Programming, vol. 2, Seminumerical Algorithms, 3rd ed. Reading MA: Addison-Wesley, 1998, first edition 1969.
  • 2
    • 48149093636 scopus 로고    scopus 로고
    • J. von zur Gathen and J. Gerhard, Modern Computer Algebra, 2nd ed. Cambridge, UK: Cambridge University Press, 2003, first edition 1999.
    • J. von zur Gathen and J. Gerhard, Modern Computer Algebra, 2nd ed. Cambridge, UK: Cambridge University Press, 2003, first edition 1999.
  • 3
    • 0003508562 scopus 로고    scopus 로고
    • U.S. Department of Commerce, National Institute of Standards and Technology, January, federal Information Processings Standards Publication 186-2, Online, Available
    • Digital Signature Standard (DSS), U.S. Department of Commerce / National Institute of Standards and Technology, January 2000, federal Information Processings Standards Publication 186-2. [Online]. Available: http://csrc.nist.gov/publications/fips/fips186-2/fips186-2-change1.pdf
    • (2000) Digital Signature Standard (DSS)
  • 4
    • 84957677506 scopus 로고    scopus 로고
    • D. V. Bailey and C. Paar, Optimal extension fields for fast arithmetic in public-key algorithms, in Advances in Cryptology: Proceedings of CRYPTO '98, Santa Barbara CA, ser. Lecture Notes in Computer Science, H. Krawczyk, Ed., no. 1462. Springer-Verlag, 1998, pp. 472-485.
    • D. V. Bailey and C. Paar, "Optimal extension fields for fast arithmetic in public-key algorithms," in Advances in Cryptology: Proceedings of CRYPTO '98, Santa Barbara CA, ser. Lecture Notes in Computer Science, H. Krawczyk, Ed., no. 1462. Springer-Verlag, 1998, pp. 472-485.
  • 5
    • 21144441469 scopus 로고    scopus 로고
    • Generic efficient arithmetic algorithms for PAFFs (processor adequate finite fields) and related algebraic structures (extended abstract)
    • Springer-Verlag
    • R. M. Avanzi and P. Mihǎilescu, "Generic efficient arithmetic algorithms for PAFFs (processor adequate finite fields) and related algebraic structures (extended abstract)," in Selected Areas in Cryptography (SAC 2003). Springer-Verlag, 2003, pp. 320-334.
    • (2003) Selected Areas in Cryptography (SAC 2003) , pp. 320-334
    • Avanzi, R.M.1    Mihǎilescu, P.2
  • 7
    • 27244434197 scopus 로고    scopus 로고
    • T. Kerins, W. P. Marnane, E. M. Popovici, and P. S. L. M. Barreto, Efficient hardware for the tate pairing calculation in characteristic three, in Cryptographic Hardware and Embedded Systems, CHES2005, ser. Lecture Notes in Computer Science, J. R. Rao and B. Sunar, Eds., 3659. Springer-Verlag, 2005, pp. 412-426.
    • T. Kerins, W. P. Marnane, E. M. Popovici, and P. S. L. M. Barreto, "Efficient hardware for the tate pairing calculation in characteristic three," in Cryptographic Hardware and Embedded Systems, CHES2005, ser. Lecture Notes in Computer Science, J. R. Rao and B. Sunar, Eds., vol. 3659. Springer-Verlag, 2005, pp. 412-426.
  • 8
    • 35248828050 scopus 로고    scopus 로고
    • m) arithmetic architectures for cryptographic applications, in Topics in cryptology, CTRSA 2003: the Cryptographers' Track at the RSA Conference 2003, San Francisco, CA, USA, April 13-17, 2003: Proceedings, ser. Lecture Notes in Computer Science, M. Joye, Ed., 2612. Springer-Verlag, 2003, pp. 158-175.
    • m) arithmetic architectures for cryptographic applications," in Topics in cryptology, CTRSA 2003: the Cryptographers' Track at the RSA Conference 2003, San Francisco, CA, USA, April 13-17, 2003: Proceedings, ser. Lecture Notes in Computer Science, M. Joye, Ed., vol. 2612. Springer-Verlag, 2003, pp. 158-175.
  • 10
    • 38149100547 scopus 로고    scopus 로고
    • Ph.D. dissertation, Bonn University, Bonn, December, Online, Available
    • J. Shokrollahi, "Efficient implementation of elliptic curve cryptography on FPGAs," Ph.D. dissertation, Bonn University, Bonn, December 2006. [Online]. Available: http://hss.ulb.unibonn.de/diss_online/math_nat_fak/ 2007/shokrollahi_jamshid/index.htm
    • (2006) Efficient implementation of elliptic curve cryptography on FPGAs
    • Shokrollahi, J.1
  • 11
    • 23044475619 scopus 로고    scopus 로고
    • Hardware and software normal basis arithmetic for pairing-based cryptogaphy in characteristic three
    • R. Granger, D. Page, and M. Stam, "Hardware and software normal basis arithmetic for pairing-based cryptogaphy in characteristic three," IEEE Transactions on Computers, vol. 54, no. 7, pp. 852-860, 2005.
    • (2005) IEEE Transactions on Computers , vol.54 , Issue.7 , pp. 852-860
    • Granger, R.1    Page, D.2    Stam, M.3
  • 12
    • 33751061273 scopus 로고    scopus 로고
    • 2 in hardware, in IEEE Information Theory Workshop (2006). Punta del Este, Uruguay: IEEE, March 2006, pp. 107-111.
    • 2 in hardware," in IEEE Information Theory Workshop (2006). Punta del Este, Uruguay: IEEE, March 2006, pp. 107-111.
  • 13
    • 0001464763 scopus 로고
    • Multiplication of multidigit numbers on automata
    • January
    • A. Karatsuba and Y. Ofman, "Multiplication of multidigit numbers on automata," Soviet Physics-Doklady, vol. 7, no. 7, pp. 595-596, January 1963,
    • (1963) Soviet Physics-Doklady , vol.7 , Issue.7 , pp. 595-596
    • Karatsuba, A.1    Ofman, Y.2
  • 14
    • 48149086756 scopus 로고    scopus 로고
    • translated from Doklady Akademii Nauk SSSR, 145, No. 2, pp. 293-294, July,
    • translated from Doklady Akademii Nauk SSSR, Vol. 145, No. 2, pp. 293-294, July,


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.