메뉴 건너뛰기




Volumn 40, Issue 1, 2006, Pages 41-58

Basic theory in construction of boolean functions with maximum possible annihilator immunity

Author keywords

Algebraic attack; Algebraic degree; Algebraic immunity; Annihilator; Annihilator immunity; Balancedness; Boolean functions; Krawtchouk polynomials; Nonlinearity; Symmetric Boolean functions

Indexed keywords

ALGEBRA; ALGORITHMS; FUNCTION EVALUATION; IMMUNOLOGY; MATHEMATICAL TRANSFORMATIONS; THEOREM PROVING;

EID: 33646038313     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10623-005-6300-x     Document Type: Article
Times cited : (217)

References (29)
  • 1
    • 35048861887 scopus 로고    scopus 로고
    • Improving fast algebraic attacks
    • number 3017 in Lecture Notes in Computer Science, . Springer Verlag
    • Armknecht F (2004). Improving fast algebraic attacks. In: FSE 2004, number 3017 in Lecture Notes in Computer Science, pp 65-82. Springer Verlag
    • (2004) FSE 2004 , pp. 65-82
    • Armknecht, F.1
  • 2
    • 35048832923 scopus 로고    scopus 로고
    • Algebraic attacks over GF(q)
    • number 3348, Lecture Notes in Computer Science, Springer-Verlag
    • Batten LM (2004). Algebraic attacks over GF(q). In: Progress in Cryptology - INDOCRYPT 2004, pp. 84-91, number 3348, Lecture Notes in Computer Science, Springer-Verlag
    • (2004) Progress in Cryptology - INDOCRYPT 2004 , pp. 84-91
    • Batten, L.M.1
  • 7
    • 33749540808 scopus 로고    scopus 로고
    • Open problems related to algebraic attacks on stream ciphers
    • invited talk
    • Canteaut A (2005). Open problems related to algebraic attacks on stream ciphers. In: WCC 2005, pp 1-10, invited talk
    • (2005) WCC 2005 , pp. 1-10
    • Canteaut, A.1
  • 10
    • 33746866954 scopus 로고    scopus 로고
    • On the construction of balanced Boolean functions with a good algebraic immunity
    • March 7-9, 2005, LIFAR, University of Rouen, France
    • Carlet C, Gaborit P (2005). On the construction of balanced Boolean functions with a good algebraic immunity. In: First Workshop on Boolean Functions: Cryptography and Applications, BFCA 05, March 7-9, 2005, LIFAR, University of Rouen, France.
    • (2005) First Workshop on Boolean Functions: Cryptography and Applications, BFCA 05
    • Carlet, C.1    Gaborit, P.2
  • 11
    • 35048814039 scopus 로고    scopus 로고
    • Resistance of S-boxes against Algebraic Attacks
    • number 3017 in Lecture Notes in Computer Science, Springer Verlag
    • Cheon JH, Lee DH (2004). Resistance of S-boxes against Algebraic Attacks. In: FSE 2004, number 3017 in Lecture Notes in Computer Science, pp 83-94. Springer Verlag
    • (2004) FSE 2004 , pp. 83-94
    • Cheon, J.H.1    Lee, D.H.2
  • 12
    • 26444495490 scopus 로고    scopus 로고
    • Algebraic attacks on SOBER-t32 and SOBER-128
    • number 3017 in Lecture Notes in Computer Science, Springer Verlag
    • Cho JY, Pieprzyk J (2004). Algebraic attacks on SOBER-t32 and SOBER-128. In: FSE 2004, number 3017 in Lecture Notes in Computer Science, pp 49-64. Springer Verlag
    • (2004) FSE 2004 , pp. 49-64
    • Cho, J.Y.1    Pieprzyk, J.2
  • 14
    • 84958765510 scopus 로고    scopus 로고
    • Cryptanalysis of block ciphers with overdefined systems of equations
    • number 2501 in Lecture Notes in Computer Science, Springer Verlag
    • Courtois N, Pieprzyk J (2002). Cryptanalysis of block ciphers with overdefined systems of equations. In: Advances in Cryptology - ASIACRYPT 2002, number 2501 in Lecture Notes in Computer Science, pp 267-287. Springer Verlag
    • (2002) Advances in Cryptology - ASIACRYPT 2002 , pp. 267-287
    • Courtois, N.1    Pieprzyk, J.2
  • 15
    • 35248820612 scopus 로고    scopus 로고
    • Algebraic attacks on stream ciphers with linear feedback
    • number 2656 in Lecture Notes in Computer Science, . Springer Verlag
    • Courtois N, Meier W (2003). Algebraic attacks on stream ciphers with linear feedback. In: Advances in Cryptology - EUROCRYPT 2003, number 2656 in Lecture Notes in Computer Science, pp 345-359. Springer Verlag
    • (2003) Advances in Cryptology - EUROCRYPT 2003 , pp. 345-359
    • Courtois, N.1    Meier, W.2
  • 16
    • 35248849880 scopus 로고    scopus 로고
    • Fast algebraic attacks on stream ciphers with linear feedback
    • number 2729 in Lecture Notes in Computer Science, . Springer Verlag
    • Courtois N (2003). Fast algebraic attacks on stream ciphers with linear feedback. In: Advances in Cryptology - CRYPTO 2003, number 2729 in Lecture Notes in Computer Science, pp 176-194. Springer Verlag
    • (2003) Advances in Cryptology - CRYPTO 2003 , pp. 176-194
    • Courtois, N.1
  • 18
    • 35048830936 scopus 로고    scopus 로고
    • Results on Algebraic immunity for cryptographically significant boolean functions
    • Lecture Notes in Computer Science, Springer-Verlag
    • Dalai DK, Gupta KC, Maitra S (2004). Results on Algebraic immunity for cryptographically significant boolean functions. In: INDOCRYPT2004, pp 92-106, number 3348, Lecture Notes in Computer Science, Springer-Verlag
    • (2004) INDOCRYPT2004 , Issue.3348 , pp. 92-106
    • Dalai, D.K.1    Gupta, K.C.2    Maitra, S.3
  • 19
    • 26444607970 scopus 로고    scopus 로고
    • Cryptographically significant Boolean functions: Construction and analysis in terms of algebraic immunity
    • Lecture Notes in Computer Science, Springer-Verlag
    • Dalai DK, Gupta KC, Maitra S (2005). Cryptographically significant Boolean functions: construction and analysis in terms of algebraic immunity. In: Fast Software Encryption, FSE 2005, pp 98-111, number 3557, Lecture Notes in Computer Science, Springer-Verlag
    • (2005) Fast Software Encryption, FSE 2005 , Issue.3557 , pp. 98-111
    • Dalai, D.K.1    Gupta, K.C.2    Maitra, S.3
  • 23
    • 0030120244 scopus 로고    scopus 로고
    • On integral zeros of Krawtchouk polynomials
    • Krasikov I (1996). On integral zeros of Krawtchouk polynomials. J Combin Theory, Series A 74:71-99
    • (1996) J Combin Theory, Series A , vol.74 , pp. 71-99
    • Krasikov, I.1
  • 24
    • 35048865919 scopus 로고    scopus 로고
    • Algebraic attacks on summation generators
    • number 3017 in Lecture Notes in Computer Science, . Springer Verlag
    • Lee DH, Kim J, Hong J, Han JW, Moon D (2004). Algebraic attacks on summation generators. In: FSE 2004, number 3017 in Lecture Notes in Computer Science, pp 34-48. Springer Verlag
    • (2004) FSE 2004 , pp. 34-48
    • Lee, D.H.1    Kim, J.2    Hong, J.3    Han, J.W.4    Moon, D.5
  • 27
    • 0036713330 scopus 로고    scopus 로고
    • Maximum nonlinearity of symmetric boolean functions on odd number of variables
    • September 2002
    • Maitra S, Sarkar P (2002). Maximum nonlinearity of symmetric boolean functions on odd number of variables. IEEE Trans Inform Theory 48(9):2626-2630, September 2002.
    • (2002) IEEE Trans Inform Theory , vol.48 , Issue.9 , pp. 2626-2630
    • Maitra, S.1    Sarkar, P.2
  • 28
    • 35048845264 scopus 로고    scopus 로고
    • Algebraic attacks and decomposition of Boolean functions
    • number 3027 in Lecture Notes in Computer Science, . Springer Verlag
    • Meier W, Pasalic E, Carlet C (2004). Algebraic attacks and decomposition of Boolean functions. In: Advances in Cryptology - EUROCRYPT 2004, number 3027 in Lecture Notes in Computer Science, pp 474-491. Springer Verlag
    • (2004) Advances in Cryptology - EUROCRYPT 2004 , pp. 474-491
    • Meier, W.1    Pasalic, E.2    Carlet, C.3
  • 29
    • 37749041414 scopus 로고
    • On the bent Boolean functions that are symmetric
    • Savicky P (1994). On the bent Boolean functions that are symmetric. Eur J Combinatorics 15:407-410
    • (1994) Eur J Combinatorics , vol.15 , pp. 407-410
    • Savicky, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.