Lower Energy Bounds for Antipodal Spherical Codes and for Codes in Infinite Projective Spaces

被引：0
|
作者：
Boyvalenkov, Peter G. [1 ,2 ]
Hardin, Douglas P. [3 ]
Saff, Edward B. [3 ]
Dragnev, Peter D. [4 ]
Stoyanova, Maya M. [5 ]
机构：
[1] South Western Univ Bulgaria, Bulgarian Acad Sci, Inst Math & Informat, Blagoevgrad, Bulgaria
[2] South Western Univ Bulgaria, Fac Math & Nat Sci, Blagoevgrad, Bulgaria
[3] Vanderbilt Univ, Ctr Construct Approximat, Dept Math, Nashville, TN USA
[4] Indiana Purdue Univ, Dept Math Sci, Ft Wayne, IN USA
[5] Univ Sofia, Fac Math & Informat, Sofia, Bulgaria
来源：
2016 XV INTERNATIONAL SYMPOSIUM PROBLEMS OF REDUNDANCY IN INFORMATION AND CONTROL SYSTEMS (REDUNDANCY) | 2016年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We apply linear programming (polynomial) techniques for obtaining lower bounds for the potential energy of antipodal spherical codes. For codes attaining our bounds we prove Lloyd type theorems. We also provide general formulations of our recent universal lower bound on energy of codes in infinite projective spaces.
引用
收藏
页码：28 / 32
页数：5
相关论文
共 50 条
  • [11] Energy bounds for codes in polynomial metric spaces
    Boyvalenkov, P. G.
    Dragnev, P. D.
    Hardin, D. P.
    Saff, E. B.
    Stoyanova, M. M.
    ANALYSIS AND MATHEMATICAL PHYSICS, 2019, 9 (02) : 781 - 808
  • [12] Asymptotic bounds for spherical codes
    Manin, Yu, I
    Marcolli, M.
    IZVESTIYA MATHEMATICS, 2019, 83 (03) : 540 - 564
  • [13] Nearly orthogonal vectors and small antipodal spherical codes
    Boris Bukh
    Christopher Cox
    Israel Journal of Mathematics, 2020, 238 : 359 - 388
  • [14] Nearly orthogonal vectors and small antipodal spherical codes
    Bukh, Boris
    Cox, Christopher
    ISRAEL JOURNAL OF MATHEMATICS, 2020, 238 (01) : 359 - 388
  • [15] Coherence Optimization and Best Complex Antipodal Spherical Codes
    Zoerlein, Henning
    Bossert, Martin
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2015, 63 (24) : 6606 - 6615
  • [16] NEARLY ORTHOGONAL VECTORS AND SMALL ANTIPODAL SPHERICAL CODES
    Bukh, B.
    Cox, C.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2019, 88 (03): : 511 - 514
  • [17] On Lower Bounds for Covering Codes
    Bhandari M.C.
    Chanduka K.K.P.
    Lal A.K.
    Designs, Codes and Cryptography, 1998, 15 (3) : 237 - 243
  • [18] On lower bounds for covering codes
    Bhandari, M.C.
    Chanduka, K.K.P.
    Lal, A.K.
    Designs, Codes, and Cryptography, 1998, 15 (03): : 237 - 243
  • [19] Lower bounds on crosscorrelation of codes
    Levenshtein, V
    IEEE ISSSTA '96 - IEEE FOURTH INTERNATIONAL SYMPOSIUM ON SPREAD SPECTRUM TECHNIQUES & APPLICATIONS, PROCEEDINGS, VOLS 1-3, 1996, : 657 - 661
  • [20] Linear codes from projective spaces
    Lavrauw, Michel
    Storme, Leo
    Van de Voorde, Geertrui
    ERROR-CORRECTING CODES, FINITE GEOMETRIES AND CRYPTOGRAPHY, 2010, 523 : 185 - 202
12345