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Volumn 28, Issue 1, 2003, Pages 75-91

A new family of cyclic difference sets with singer parameters in characteristic three

Author keywords

characters; difference set; Gauss sums; group rings; Jacobi sums

Indexed keywords


EID: 84867974771     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021827804314     Document Type: Article
Times cited : (11)

References (32)
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    • Multiplicative difference sets via additive characters
    • J. F. Dillon 1999 Multiplicative difference sets via additive characters Designs, Codes, Cryptography 17 225 235
    • (1999) Designs, Codes, Cryptography , vol.17 , pp. 225-235
    • Dillon, J.F.1
  • 11
    • 0002248212 scopus 로고    scopus 로고
    • Gauss Sums, Jacobi Sums and p-Ranks of Cyclic Difference Sets
    • R. Evans, H. Hollman, C. Krattenthaler and Q. Xiang, Gauss Sums, Jacobi Sums and p-Ranks of Cyclic Difference Sets, J. Comb. Th(A), Vol. 87, pp. 74-119.
    • J. Comb. Th(A) , vol.87 , pp. 74-119
    • Evans, R.1    Hollman, H.2    Krattenthaler, C.3    Xiang, Q.4
  • 14
    • 0035400518 scopus 로고    scopus 로고
    • A new family of ternary sequences ideal autocorrelation function
    • T. Helleseth P.V. Kumar H. Martinsen 2001 A new family of ternary sequences ideal autocorrelation function Des. Codes Cryptogr. 23 2 157 166
    • (2001) Des. Codes Cryptogr. , vol.23 , Issue.2 , pp. 157-166
    • Helleseth, T.1    Kumar, P.V.2    Martinsen, H.3
  • 15
    • 0141982449 scopus 로고    scopus 로고
    • Difference sets: An introduction
    • A. Pott, P. V. Kumar, T. Helleseth and D. Jungnickel, eds Kluwer
    • D. Jungnickel and A. Pott, Difference sets: an introduction, In (A. Pott, P. V. Kumar, T. Helleseth and D. Jungnickel, eds.) Difference Sets, Sequences and Their Correlation Properties, Kluwer (1999) pp. 259-295.
    • (1999) Difference Sets, Sequences and Their Correlation Properties , pp. 259-295
    • Jungnickel, D.1    Pott, A.2
  • 21
    • 0000137160 scopus 로고
    • On the p-rank of the design matrix of a difference set
    • J. MacWilliams H. B. Mann 1968 On the p-rank of the design matrix of a difference set Inform. Control 12 474 488
    • (1968) Inform. Control , vol.12 , pp. 474-488
    • MacWilliams, J.1    Mann, H.B.2
  • 27
    • 84968511087 scopus 로고
    • A theorem in finite projective geometry and some applications to number theory
    • J. Singer 1938 A theorem in finite projective geometry and some applications to number theory Trans. AMS 43 377 385
    • (1938) Trans. AMS , vol.43 , pp. 377-385
    • Singer, J.1
  • 30
    • 84972540358 scopus 로고
    • Character sums and difference sets
    • R. J. Turyn 1965 Character sums and difference sets Pacific J. Math. 15 319 346
    • (1965) Pacific J. Math. , vol.15 , pp. 319-346
    • Turyn, R.J.1
  • 31
    • 0002455497 scopus 로고    scopus 로고
    • Recent results on difference sets with classical parameters
    • A. Pott, P. V. Kumar, T. Helleseth and D. Jungnickel, eds Kluwer
    • Q. Xiang, Recent results on difference sets with classical parameters, In (A. Pott, P. V. Kumar, T. Helleseth and D. Jungnickel, eds.) Difference Sets, Sequences and Their Correlation Properties, Kluwer (1999) pp. 419-437.
    • (1999) Difference Sets, Sequences and Their Correlation Properties , pp. 419-437
    • Xiang, Q.1
  • 32
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    • On congruences arising from relative Gauss sums
    • World Scientific Publ. Japan
    • K. Yamamoto, On congruences arising from relative Gauss sums, In Number Theory and Combinatorics, 1984, World Scientific Publ. Japan (1985) pp. 423-446.
    • (1985) Number Theory and Combinatorics , pp. 423-446
    • Yamamoto, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.