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Volumn , Issue 43, 2004, Pages 2271-2279

A lower bound on the density of sphere packings via graph theory

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EID: 4544375373     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792804140464     Document Type: Article
Times cited : (20)

References (10)
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    • A lower bound for the optimal density of lattice packings
    • K. Ball, A lower bound for the optimal density of lattice packings, Int. Math. Res. Not. 1992 (1992), no. 10, 217-221.
    • (1992) Int. Math. Res. Not. , vol.1992 , Issue.10 , pp. 217-221
    • Ball, K.1
  • 4
    • 4544360025 scopus 로고
    • Hlawka's theorem in the geometry of numbers
    • H. Davenport and C. A. Rogers, Hlawka's theorem in the geometry of numbers, Duke Math. J. 14 (1947), 367-375.
    • (1947) Duke Math. J. , vol.14 , pp. 367-375
    • Davenport, H.1    Rogers, C.A.2
  • 5
    • 0039736274 scopus 로고
    • Zur geometrie der zahlen
    • German
    • E. Hlawka, Zur geometrie der zahlen, Math. Z. 49 (1943), 285-312 (German).
    • (1943) Math. Z. , vol.49 , pp. 285-312
    • Hlawka, E.1
  • 6
    • 3943089702 scopus 로고    scopus 로고
    • Independent sets in graphs with triangles
    • T. Hofmeister and H. Lefmann, Independent sets in graphs with triangles, Inform. Process. Lett. 58 (1996), no. 5, 207-210.
    • (1996) Inform. Process. Lett. , vol.58 , Issue.5 , pp. 207-210
    • Hofmeister, T.1    Lefmann, H.2
  • 7
    • 4544343418 scopus 로고    scopus 로고
    • Asymptotic improvement of the Gilbert-Varshamov bound on the size of binary codes
    • to appear
    • T. Jiang and A. Vardy, Asymptotic improvement of the Gilbert-Varshamov bound on the size of binary codes, to appear in IEEE Trans. Information Theory.
    • IEEE Trans. Information Theory
    • Jiang, T.1    Vardy, A.2
  • 8
    • 84972572009 scopus 로고
    • Constructive high-dimensional sphere packings
    • S. Litsyn and M. Tsfasman, Constructive high-dimensional sphere packings, Duke Math. J. 54 (1987), no. 1, 147-161.
    • (1987) Duke Math. J. , vol.54 , Issue.1 , pp. 147-161
    • Litsyn, S.1    Tsfasman, M.2
  • 9
    • 84891683949 scopus 로고
    • Diskontinuitäsbereich für arithmetische aequivallenz
    • German
    • H. Minkowski, Diskontinuitäsbereich für arithmetische Aequivallenz, J. reine angew. Math. 129 (1905), 220-274 (German).
    • (1905) J. Reine Angew. Math. , vol.129 , pp. 220-274
    • Minkowski, H.1
  • 10
    • 4544266195 scopus 로고
    • Existence theorems in the geometry of numbers
    • A. Rogers, Existence theorems in the geometry of numbers, Ann. of Math. (2) 48 (1947), 994-1002.
    • (1947) Ann. of Math. , vol.48 , Issue.2 , pp. 994-1002
    • Rogers, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.