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Volumn 62, Issue 1, 2015, Pages 110-119

High-throughput finite field multipliers using redundant basis for FPGA and ASIC implementations

Author keywords

ASIC; Digit serial; Finite field multiplication; FPGA; High throughput; Redundant basis

Indexed keywords

APPLICATION SPECIFIC INTEGRATED CIRCUITS; ENERGY EFFICIENCY; GRAPH ALGORITHMS; GRAPHIC METHODS; LOGIC SYNTHESIS; PUBLIC KEY CRYPTOGRAPHY; SIGNAL FLOW GRAPHS;

EID: 85027952598     PISSN: 15498328     EISSN: 15580806     Source Type: Journal    
DOI: 10.1109/TCSI.2014.2349577     Document Type: Article
Times cited : (15)

References (22)
  • 1
    • 0003442756 scopus 로고    scopus 로고
    • ser. London Mathematical Society Lecture Note Series.. Cambridge U.K.: Cambridge Univ. Press
    • I. Blake G. Seroussi N.P.Smart Elliptic Curves in Cryptography ser. London Mathematical Society Lecture Note Series.. Cambridge, U.K.: Cambridge Univ. Press 1999.
    • (1999) Elliptic Curves in Cryptography
    • Blake, I.1    Seroussi, G.2    Smart, N.P.3
  • 2
    • 33746089881 scopus 로고    scopus 로고
    • Cryptographic applications of brahmaqupta-bha skara equation
    • N. R. Murthy, M. N. S. Swamy, "Cryptographic applications of brahmaqupta-bha skara equation," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 7, pp. 1565-1571, 2006.
    • (2006) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.53 , Issue.7 , pp. 1565-1571
    • Murthy, N.R.1    Swamy, M.N.S.2
  • 3
    • 0032115233 scopus 로고    scopus 로고
    • Low-energy digit-serial/parallel finite field multipliers
    • L. Song, K. K. Parhi, "Low-energy digit-serial/parallel finite field multipliers," J. VLSI Digit. Process., vol. 19, pp. 149-C166, 1998.
    • (1998) J. VLSI Digit. Process. , vol.19 , pp. 149-C166
    • Song, L.1    Parhi, K.K.2
  • 4
    • 62949162331 scopus 로고    scopus 로고
    • On efficient implementation of accumulation in finite field over, its applications
    • P. K. Meher, "On efficient implementation of accumulation in finite field over, its applications," IEEE Trans. Very Large Scale Integr. (VLSI) Syst., vol. 17, no. 4, pp. 541-550, 2009.
    • (2009) IEEE Trans. Very Large Scale Integr. (VLSI) Syst. , vol.17 , Issue.4 , pp. 541-550
    • Meher, P.K.1
  • 5
    • 0033905572 scopus 로고    scopus 로고
    • Hardware/software codesign of finite field datapath for low-energy Reed-Solomn codecs
    • Apr.
    • L. Song, K. K. Parhi, I. Kuroda, T.Nishitani, "Hardware/software codesign of finite field datapath for low-energy Reed-Solomn codecs," IEEE Trans. Very Large Scale Integr. (VLSI) Syst., vol. 8, no. 2, pp. 160-172, Apr. 2000.
    • (2000) IEEE Trans. Very Large Scale Integr. (VLSI) Syst. , vol.8 , Issue.2 , pp. 160-172
    • Song, L.1    Parhi, K.K.2    Kuroda, I.3    Nishitani, T.4
  • 6
    • 0000895310 scopus 로고    scopus 로고
    • A new representation of elements of finite fields yielding small complexity arithmetic circuits
    • G. Drolet, "A new representation of elements of finite fields yielding small complexity arithmetic circuits," IEEE Trans. Comput., vol. 47, no. 9, pp. 938-946, 1998.
    • (1998) IEEE Trans. Comput. , vol.47 , Issue.9 , pp. 938-946
    • Drolet, G.1
  • 7
    • 25844483773 scopus 로고    scopus 로고
    • Low-complexity bit-parallel systolic montgomery multipliers for special classes of
    • Sep.
    • C.-Y. Lee, J.-S. Horng, I.-C. Jou, E.-H. Lu, "Low-complexity bit-parallel systolic montgomery multipliers for special classes of," IEEE Trans. Comput., vol. 54, no. 9, pp. 1061-1070, Sep. 2005.
    • (2005) IEEE Trans. Comput. , vol.54 , Issue.9 , pp. 1061-1070
    • Lee, C.-Y.1    Horng, J.-S.2    Jou, I.-C.3    Lu, E.-H.4
  • 8
    • 44949123900 scopus 로고    scopus 로고
    • Systolic, super-systolic multipliers for finite field based on irreducible trinomials
    • May
    • P. K. Meher, "Systolic, super-systolic multipliers for finite field based on irreducible trinomials," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 55, no. 4, pp. 1031-1040, May 2008.
    • (2008) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.55 , Issue.4 , pp. 1031-1040
    • Meher, P.K.1
  • 9
    • 84872849279 scopus 로고    scopus 로고
    • Lowlatency systolicmontgomerymultiplier for finite field based on pentanomials
    • Feb.
    • J. Xie, J. He, P. K. Meher, "Lowlatency systolicmontgomerymultiplier for finite field based on pentanomials," IEEE Trans. Very Large Scale Integr. (VLSI) Syst., vol. 21, no. 2, pp. 385-389, Feb. 2013.
    • (2013) IEEE Trans. Very Large Scale Integr. (VLSI) Syst. , vol.21 , Issue.2 , pp. 385-389
    • Xie, J.1    He, J.2    Meher, P.K.3
  • 10
    • 0036859286 scopus 로고    scopus 로고
    • Finite field multiplier using redundant representation
    • Nov.
    • H.Wu, M. A. Hasan, I. F. Blake, S. Gao, "Finite field multiplier using redundant representation," IEEE Trans. Comput., vol. 51, no. 11, pp. 1306-1316, Nov. 2002.
    • (2002) IEEE Trans. Comput. , vol.51 , Issue.11 , pp. 1306-1316
    • Wu, H.1    Hasan, M.A.2    Blake, I.F.3    Gao, S.4
  • 11
    • 34547904217 scopus 로고    scopus 로고
    • Comb architectures for finite field multiplication in
    • Jul.
    • A. H. Namin, H. Wu, M. Ahmadi, "Comb architectures for finite field multiplication in," IEEE Trans. Comput., vol. 56, no. 7, pp. 909-916, Jul. 2007.
    • (2007) IEEE Trans. Comput. , vol.56 , Issue.7 , pp. 909-916
    • Namin, A.H.1    Wu, H.2    Ahmadi, M.3
  • 12
    • 64349112786 scopus 로고    scopus 로고
    • A new finite field multiplier using redundat representation
    • May
    • A. H. Namin, H. Wu, M. Ahmadi, "A new finite field multiplier using redundat representation," IEEE Trans. Comput., vol. 57, no. 5, pp. 716-720, May 2008.
    • (2008) IEEE Trans. Comput. , vol.57 , Issue.5 , pp. 716-720
    • Namin, A.H.1    Wu, H.2    Ahmadi, M.3
  • 13
    • 70349733195 scopus 로고    scopus 로고
    • A high-speed word level finite field multiplier in using redundant representation
    • Oct.
    • A. H. Namin, H.Wu, M. Ahmadi, "A high-speed word level finite field multiplier in using redundant representation," IEEE Trans. Very Large Scale Integr. (VLSI) Syst., vol. 17, no. 10, pp. 1546-1550, Oct. 2009.
    • (2009) IEEE Trans. Very Large Scale Integr. (VLSI) Syst. , vol.17 , Issue.10 , pp. 1546-1550
    • Namin, A.H.1    Wu, H.2    Ahmadi, M.3
  • 14
    • 84864705037 scopus 로고    scopus 로고
    • An efficient finite field multiplier using redundant representation
    • Jul.
    • A. H. Namin, H. Wu, M. Ahmadi, "An efficient finite field multiplier using redundant representation," ACMTrans. Embedded Comput. Sys., vol. 11, no. 2, Jul. 2012, Art. 31.
    • (2012) ACMTrans. Embedded Comput. Sys. , vol.11 , Issue.2
    • Namin, A.H.1    Wu, H.2    Ahmadi, M.3
  • 16
    • 67349273087 scopus 로고    scopus 로고
    • Systolic, non-systolic scalable modular designs of finite field multipliers for Reed-Solomon Codec
    • Jun.
    • P. K. Meher, "Systolic, non-systolic scalable modular designs of finite field multipliers for Reed-Solomon Codec," IEEE Trans. Very Large Scale Integr. (VLSI) Syst., vol. 17, no. 6, pp. 747-C757, Jun. 2009.
    • (2009) IEEE Trans. Very Large Scale Integr. (VLSI) Syst. , vol.17 , Issue.6 , pp. 747-C757
    • Meher, P.K.1
  • 19
    • 84968467386 scopus 로고
    • On orders of optimal normal basis generators
    • S. Gao, S. Vanstone, "On orders of optimal normal basis generators," Math. Comput., vol. 64, no. 2, pp. 1227-1233, 1995.
    • (1995) Math. Comput. , vol.64 , Issue.2 , pp. 1227-1233
    • Gao, S.1    Vanstone, S.2
  • 20
    • 0038639375 scopus 로고    scopus 로고
    • Efficient digit-serial normal basis multipliers over
    • Apr.
    • A. Reyhani-Masoleh, M. A. Hasan, "Efficient digit-serial normal basis multipliers over," IEEE Trans. Comput., vol. 52, no. 4, pp. 428-439, Apr. 2003.
    • (2003) IEEE Trans. Comput. , vol.52 , Issue.4 , pp. 428-439
    • Reyhani-Masoleh, A.1    Hasan, M.A.2
  • 21
    • 14844353746 scopus 로고    scopus 로고
    • Low complexity word-level sequential normal basis multipliers
    • Feb.
    • A. Reyhani-Masoleh, M. A. Hasan, "Low complexity word-level sequential normal basis multipliers," IEEE Trans. Comput., vol. 54, no. 2, pp. 98-C110, Feb. 2005.
    • (2005) IEEE Trans. Comput. , vol.54 , Issue.2 , pp. 98-C110
    • Reyhani-Masoleh, A.1    Hasan, M.A.2
  • 22
    • 79955521177 scopus 로고    scopus 로고
    • A word-level finite field multiplier using normal basis
    • Jun.
    • A. H. Namin, H. Wu, M. Ahmadi, "A word-level finite field multiplier using normal basis," IEEE Trans. Comput., vol. 60, no. 6, pp. 890-895, Jun. 2011.
    • (2011) IEEE Trans. Comput. , vol.60 , Issue.6 , pp. 890-895
    • Namin, A.H.1    Wu, H.2    Ahmadi, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.