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Volumn 3659, Issue , 2005, Pages 131-146

Scalable hardware for sparse systems of linear equations, with applications to integer factorization

Author keywords

Factorization; Number field sieve; Sparse systems of linear equations

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COSTS; ERROR ANALYSIS; INTEGER PROGRAMMING; INTERCONNECTION NETWORKS; LINEAR ALGEBRA; LINEAR EQUATIONS; NUMBER THEORY; PROBABILITY; PROBLEM SOLVING; SYSTEMS ANALYSIS;

EID: 27244438449     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/11545262_10     Document Type: Conference Paper
Times cited : (13)

References (18)
  • 1
    • 84949482655 scopus 로고    scopus 로고
    • Factoring large numbers with the TWINKLE device
    • CHES 1999, Springer
    • Shamir, A.: Factoring Large Numbers with the TWINKLE Device. In: CHES 1999. Volume 1717 of LNCS, Springer (1999) 2-12
    • (1999) LNCS , vol.1717 , pp. 2-12
    • Shamir, A.1
  • 2
    • 84948989672 scopus 로고    scopus 로고
    • Analysis and optimization of the TWINKLE factoring device
    • EUROCRYPT 2000, Springer
    • Lenstra, A.K., Shamir, A.: Analysis and Optimization of the TWINKLE Factoring Device. In: EUROCRYPT 2000. Volume 1807 of LNCS, Springer (2000) 35-52
    • (2000) LNCS , vol.1807 , pp. 35-52
    • Lenstra, A.K.1    Shamir, A.2
  • 3
    • 35248831099 scopus 로고    scopus 로고
    • A dedicated sieving hardware
    • PKC 2003, Springer
    • Geiselmann, W., Steinwandt, R.: A Dedicated Sieving Hardware. In: PKC 2003. Volume 2567 of LNCS, Springer (2003) 254-266
    • (2003) LNCS , vol.2567 , pp. 254-266
    • Geiselmann, W.1    Steinwandt, R.2
  • 4
    • 35248849882 scopus 로고    scopus 로고
    • Factoring large numbers with the TWIRL device
    • CRYPTO 2003, Springer
    • Shamir, A., Tromer, E.: Factoring Large Numbers with the TWIRL Device. In: CRYPTO 2003. Volume 2729 of LNCS, Springer (2003) 1-26
    • (2003) LNCS , vol.2729 , pp. 1-26
    • Shamir, A.1    Tromer, E.2
  • 5
    • 35048838551 scopus 로고    scopus 로고
    • Yet another sieving device
    • CT-RSA 2004, Springer
    • Geiselmann, W., Steinwandt, R.: Yet Another Sieving Device. In: CT-RSA 2004. Volume 2964 of LNCS, Springer (2004) 278-291
    • (2004) LNCS , vol.2964 , pp. 278-291
    • Geiselmann, W.1    Steinwandt, R.2
  • 9
    • 38049095343 scopus 로고    scopus 로고
    • Analysis of Bernstein's factorization circuit
    • ASIACRYPT 2002, Springer
    • Lenstra, A.K., Shamir, A., Tomlinson, J., Tromer, E.: Analysis of Bernstein's Factorization Circuit. In: ASIACRYPT 2002. Volume 2501 of LNCS, Springer (2002) 1-26
    • (2002) LNCS , vol.2501 , pp. 1-26
    • Lenstra, A.K.1    Shamir, A.2    Tomlinson, J.3    Tromer, E.4
  • 10
    • 35248891534 scopus 로고    scopus 로고
    • Hardware for solving sparse systems of linear equations over GF(2)
    • CHES 2003, Springer
    • Geiselmann, W., Steinwandt, R.: Hardware for Solving Sparse Systems of Linear Equations over GF(2). In: CHES 2003. Volume 2779 of LNCS, Springer (2003) 51-61
    • (2003) LNCS , vol.2779 , pp. 51-61
    • Geiselmann, W.1    Steinwandt, R.2
  • 12
    • 27244455409 scopus 로고    scopus 로고
    • A first step towards computations in brauer groups and applications to data security
    • Invited talk at
    • Frey, G.: A First Step Towards Computations in Brauer Groups and Applications to data Security. Invited talk at WARTACRYPT '04 (2004)
    • (2004) WARTACRYPT '04
    • Frey, G.1
  • 14
  • 16
    • 84968521645 scopus 로고
    • Solving homogeneous linear equations over GF(2) via block Wiedemann algorithm
    • Coppersmith, D.: Solving Homogeneous Linear Equations over GF(2) via Block Wiedemann Algorithm. Mathematics of Computation 62 (1994) 333-350
    • (1994) Mathematics of Computation , vol.62 , pp. 333-350
    • Coppersmith, D.1
  • 17
    • 0030658654 scopus 로고    scopus 로고
    • Further analysis of Coppersmith's block Wiedemann algorithm for the solution of sparse linear systems
    • ACM
    • Villard, G.: Further analysis of Coppersmith's block Wiedemann algorithm for the solution of sparse linear systems. In: International Symposium on Symbolic and Algebraic Computation - ISAAC '97, ACM (1997) 32-39
    • (1997) International Symposium on Symbolic and Algebraic Computation - ISAAC '97 , pp. 32-39
    • Villard, G.1
  • 18
    • 77956089601 scopus 로고    scopus 로고
    • Factorization of a 512-bit RSA modulus
    • EUROCRYPT 2000, Springer
    • Cavallar, S., Dodson, B., Lenstra, A., Lioen, W., Montgomery, P., Murphy, B., te Riele et al., H.: Factorization of a 512-bit RSA modulus. In: EUROCRYPT 2000. Volume 1807 of LNCS, Springer (2000) 1-17
    • (2000) LNCS , vol.1807 , pp. 1-17
    • Cavallar, S.1    Dodson, B.2    Lenstra, A.3    Lioen, W.4    Montgomery, P.5    Murphy, B.6    Te Riele7


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.