NEW AND UPDATED SEMIDEFINITE PROGRAMMING BOUNDS FOR SUBSPACE CODES

Heinlein Daniel; Ihringer Ferdinand

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NEW AND UPDATED SEMIDEFINITE PROGRAMMING BOUNDS FOR SUBSPACE CODES

机译：用于子空间代码的新的和更新的Semidefinite编程界限

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We show that A(2) (7, 4) <= 388 and, more generally, A(q) (7, 4) <= (q(2) -q + 1)[7]+ q(4) - 2q(3) + 3q(2) - 4q + 4 by semidefinite programming for q <= 101. Furthermore, we extend results by Bachoc et al. on SDP bounds for A(2) (n, d), where d is odd and n is small, to A(q)(n, d) for small q and small

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来源
《Advances in mathematics of communications》 |2020年第4期|共18页
作者
Heinlein Daniel; Ihringer Ferdinand;
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作者单位

Aalto Univ Dept Commun &

Networking Espoo Finland;

Univ Ghent Dept Math Anal Log &

Discrete Math Ghent Belgium;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Semidefinite programming; network coding; subspace code; subspace distance; finite projective space; coherent configuration;

机译：SEMIDEFINITE编程;网络编码;子空间代码;子空间距离;有限的投影空间;相干配置;

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专利

1. A SUBSPACE PROJECTED CONJUGATE GRADIENT ALGORITHM FOR LARGE BOUND CONSTRAINED QUADRATIC PROGRAMMING [J] . 倪勤高等学校计算数学学报：英文版 . 1998,第001期
2. DECODING BEYOND THE BOUND OF THE COMPLEX-ROTARY CODE AND ITS DUAL CODE [J] . 袁毅, 靳番电子科学学刊：英文版 . 1991,第001期
3. Semidefinite Programming Bounds for Constant-Weight Codes [J] . Sven C. Polak IEEE Transactions on Information Theory . 2019,第1期

机译：等重编码的半定界
4. Semidefinite programming bounds for Lee codes [J] . Polak Sven C. Discrete mathematics . 2019,第9期

机译：Lee Codes的Semidefinite编程界限
5. Improved Semidefinite Programming Bound on Sizes of Codes [J] . Kim H.K., Toan P.T. IEEE Transactions on Information Theory . 2013,第11期

机译：改进的半确定编程约束代码长度
6. Upper bounds for binary linear codes based on the Terwiiliger algebra and semidefinite programming [C] . Xiaowei Luo, Yanqin Bai The Third International Workshop on Applied Matrix Theory（第三届国际矩阵分析与应用会议）论文集 . 2009

机译：基于Terwiiliger代数和半定规划的二进制线性码的上限
7. On semidefinite programming and vector quantization with application to image coding. [D] . Gong, Yun. 2000

机译：关于半定规划和向量量化及其在图像编码中的应用。
8. Semidefinite bounds for nonbinary codes based on quadruples [O] . Bart Litjens, Sven Polak, Alexander Schrijver -1

机译：基于四倍的非二进制代码的半定界
9. Linear Programming / Semidefinite programming hierarchy lower bounds for decoding random Low-density parity-check codes [O] . Ghazi, Badih 2015

机译：Linear programming / semidefinite编程层次结构用于解码随机低密度奇偶校验码的下限
10. Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems [R] . Stewart, G. W. 1972

机译：与某些特征值问题相关的子空间的误差和扰动界

NEW AND UPDATED SEMIDEFINITE PROGRAMMING BOUNDS FOR SUBSPACE CODES

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