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Volumn 7237 LNCS, Issue , 2012, Pages 520-536

Decoding random binary linear codes in 2 n/20: How 1+1=0 improves information set decoding

Author keywords

Information Set Decoding; Representation Technique

Indexed keywords

BALL COLLISIONS; BINARY LINEAR CODES; COMPLEXITY THEORY; DECODING ALGORITHM; INFORMATION SET; RANDOM CODES; RANDOM LINEAR CODES; REPRESENTATION TECHNIQUES; RUNNING TIME;

EID: 84860003018     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-29011-4_31     Document Type: Conference Paper
Times cited : (294)

References (31)
  • 2
    • 79958014269 scopus 로고    scopus 로고
    • Improved generic algorithms for hard knapsacks
    • Paterson, K.G. (ed.) EUROCRYPT 2011 Springer, Heidelberg
    • Becker, A., Coron, J.-S., Joux, A.: Improved Generic Algorithms for Hard Knapsacks. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 364-385. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6632 , pp. 364-385
    • Becker, A.1    Coron, J.-S.2    Joux, A.3
  • 4
    • 56749164782 scopus 로고    scopus 로고
    • Attacking and defending the mceliece cryptosystem
    • Buchmann, J., Ding, J. (eds.) PQCrypto 2008 Springer, Heidelberg
    • Bernstein, D.J., Lange, T., Peters, C.: Attacking and Defending the McEliece Cryptosystem. In: Buchmann, J., Ding, J. (eds.) PQCrypto 2008. LNCS, vol. 5299, pp. 31-46. Springer, Heidelberg (2008)
    • (2008) LNCS , vol.5299 , pp. 31-46
    • Bernstein, D.J.1    Lange, T.2    Peters, C.3
  • 5
    • 80052013042 scopus 로고    scopus 로고
    • Smaller decoding exponents: Ball-collision decoding
    • Rogaway, P. (ed.) CRYPTO 2011 Springer, Heidelberg
    • Bernstein, D.J., Lange, T., Peters, C.: Smaller Decoding Exponents: Ball-Collision Decoding. In: Rogaway, P. (ed.) CRYPTO 2011. LNCS, vol. 6841, pp. 743-760. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6841 , pp. 743-760
    • Bernstein, D.J.1    Lange, T.2    Peters, C.3
  • 7
    • 0005710304 scopus 로고
    • Lower asymptotic bound on the number of linear code words in a sphere of given radius in Fnq
    • Blinovskii, V.M.: Lower asymptotic bound on the number of linear code words in a sphere of given radius in Fnq . Probl. Peredach. Inform. 23, 50-53 (1987)
    • (1987) Probl. Peredach. Inform. , vol.23 , pp. 50-53
    • Blinovskii, V.M.1
  • 8
    • 0031675932 scopus 로고    scopus 로고
    • A new algorithm for finding minimum-weight words in a linear code: Application to mceliece's cryptosystem and to narrow-sense bch codes of length 511
    • Canteaut, A., Chabaud, F.: A new algorithm for finding minimum-weight words in a linear code: Application to mceliece's cryptosystem and to narrow-sense bch codes of length 511. IEEE Transactions on Information Theory 44(1), 367-378 (1998)
    • (1998) IEEE Transactions on Information Theory , vol.44 , Issue.1 , pp. 367-378
    • Canteaut, A.1    Chabaud, F.2
  • 11
    • 79960766850 scopus 로고    scopus 로고
    • A distinguisher for high rate mceliece cryptosystems
    • full version available as eprint Report 2010/331
    • Faug̀ere, J.-C., Otmani, A., Perret, L., Tillich, J.-P.: A Distinguisher for High Rate McEliece Cryptosystems. In: YACC 2010, full version available as eprint Report 2010/331 (2010)
    • (2010) YACC 2010
    • Faug̀ere, J.-C.1    Otmani, A.2    Perret, L.3    Tillich, J.-P.4
  • 12
    • 72449174805 scopus 로고    scopus 로고
    • Security bounds for the design of code-based cryptosystems
    • Matsui, M. (ed.) ASIACRYPT 2009 Springer, Heidelberg
    • Finiasz, M., Sendrier, N.: Security Bounds for the Design of Code-Based Cryptosystems. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 88-105. Springer, Heidelberg (2009)
    • (2009) LNCS , vol.5912 , pp. 88-105
    • Finiasz, M.1    Sendrier, N.2
  • 14
    • 70349284581 scopus 로고    scopus 로고
    • Secure human identification protocols
    • Boyd, C. (ed.) ASIACRYPT 2001 Springer, Heidelberg
    • Hopper, N.J., Blum, M.: Secure Human Identification Protocols. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 52-66. Springer, Heidelberg (2001)
    • (2001) LNCS , vol.2248 , pp. 52-66
    • Hopper, N.J.1    Blum, M.2
  • 15
    • 77954651737 scopus 로고    scopus 로고
    • New generic algorithms for hard knapsacks
    • Gilbert, H. (ed.) EUROCRYPT 2010 Springer, Heidelberg
    • Howgrave-Graham, N., Joux, A.: New Generic Algorithms for Hard Knapsacks. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 235-256. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.6110 , pp. 235-256
    • Howgrave-Graham, N.1    Joux, A.2
  • 16
    • 84859947652 scopus 로고
    • A variant of a public key cryptosystem based on goppa codes
    • Jordan, J.P.: A variant of a public key cryptosystem based on goppa codes. SIGACTNews 15, 61-66 (1983)
    • (1983) SIGACT News , vol.15 , pp. 61-66
    • Jordan, J.P.1
  • 17
    • 79957999442 scopus 로고    scopus 로고
    • Efficient authentication from hard learning problems
    • Paterson, K.G. (ed.) EUROCRYPT 2011 Springer, Heidelberg
    • Kiltz, E., Pietrzak, K., Cash, D., Jain, A., Venturi, D.: Efficient Authentication from Hard Learning Problems. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 7-26. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6632 , pp. 7-26
    • Kiltz, E.1    Pietrzak, K.2    Cash, D.3    Jain, A.4    Venturi, D.5
  • 19
    • 85034651324 scopus 로고
    • An observation on the security of mceliece's public-key cryptosystem
    • G̈unther, C.G. (ed.) EUROCRYPT 1988 Springer, Heidelberg
    • Lee, P.J.,Brickell, E.F.:An Observation on the Security of McEliece's Public-Key Cryptosystem. In: G̈unther, C.G. (ed.) EUROCRYPT 1988. LNCS, vol. 330, pp. 275-280. Springer, Heidelberg (1988)
    • (1988) LNCS , vol.330 , pp. 275-280
    • Lee, P.J.1    Brickell, E.F.2
  • 20
    • 0024078914 scopus 로고
    • A probabilistic algorithm for computing minimum weights of large errorcorrecting codes IEEE
    • Leon, J.S.: A probabilistic algorithm for computing minimum weights of large errorcorrecting codes. IEEE Transactions on Information Theory 34(5), 1354-1359 (1988)
    • (1988) Transactions on Information Theory , vol.34 , Issue.5 , pp. 1354-1359
    • Leon, J.S.1
  • 21
    • 11744358774 scopus 로고
    • Covering radius of almost all linear codes satisfies the Goblick bound
    • Kobe, Japan
    • Levitin, L.B.: Covering radius of almost all linear codes satisfies the Goblick bound. In: IEEE Internat. Symp. on Information Theory, Kobe, Japan (1988)
    • (1988) IEEE Internat. Symp. on Information Theory
    • Levitin, L.B.1
  • 23
    • 82955177030 scopus 로고    scopus 로고
    • Decoding random linear codes in Õ(20.054n)
    • Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011 Springer, Heidelberg
    • May, A., Meurer, A., Thomae, E.: Decoding Random Linear Codes in Õ(20.054n). In: Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011. LNCS, vol. 7073, pp. 107-124. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.7073 , pp. 107-124
    • May, A.1    Meurer, A.2    Thomae, E.3
  • 25
    • 33746812562 scopus 로고
    • The use of information sets in decoding cyclic codes
    • Prange, E.: The Use of Information Sets in Decoding Cyclic Codes. IRE Transaction on Information Theory 8(5), 5-9 (1962)
    • (1962) IRE Transaction on Information Theory , vol.8 , Issue.5 , pp. 5-9
    • Prange, E.1
  • 26
    • 77954391096 scopus 로고    scopus 로고
    • Information-set decoding for linear codes over Fq
    • Sendrier, N. (ed.) PQCrypto 2010 Springer, Heidelberg
    • Peters, C.: Information-Set Decoding for Linear Codes over Fq. In: Sendrier, N. (ed.) PQCrypto 2010. LNCS, vol. 6061, pp. 81-94. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.6061 , pp. 81-94
    • Peters, C.1
  • 28
    • 0034226112 scopus 로고    scopus 로고
    • Finding the permutation between equivalent linear codes: The support splitting algorithm
    • Sendrier, N.: Finding the permutation between equivalent linear codes: The support splitting algorithm. IEEE Transactions on Information Theory 46, 1193-1203 (2000)
    • (2000) IEEE Transactions on Information Theory , vol.46 , pp. 1193-1203
    • Sendrier, N.1
  • 29
    • 33646166930 scopus 로고    scopus 로고
    • On the security of the McEliece public-key cryptosystem
    • Blaum, M., Farrell, P., van Tilborg, H. (eds.) Kluwer Proceedings of Workshop honoring Prof. Bob McEliece on his 60th birthday
    • Sendrier, N.: On the security of the McEliece public-key cryptosystem. In: Blaum, M., Farrell, P., van Tilborg, H. (eds.) Information, Coding andMathematics, pp. 141-163. Kluwer (2002); Proceedings of Workshop honoring Prof. Bob McEliece on his 60th birthday
    • (2002) Information, Coding and Mathematics , pp. 141-163
    • Sendrier, N.1
  • 30
    • 84964937021 scopus 로고
    • A method for finding codewords of small weight
    • Wolfmann, J., Cohen, G. (eds.) Coding Theory 1988 Springer, Heidelberg
    • Stern, J.: A Method for Finding Codewords of Small Weight. In: Wolfmann, J., Cohen, G. (eds.) Coding Theory 1988. LNCS, vol. 388, pp. 106-113. Springer, Heidelberg (1989)
    • (1989) LNCS , vol.388 , pp. 106-113
    • Stern, J.1
  • 31
    • 84937428040 scopus 로고    scopus 로고
    • A generalized birthday problem
    • Yung, M. (ed.) CRYPTO 2002 Springer, Heidelberg
    • Wagner, D.: A Generalized Birthday Problem. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 288-303. Springer, Heidelberg (2002)
    • (2002) LNCS , vol.2442 , pp. 288-303
    • Wagner, D.1


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