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arXiv · 1907.05589

Optimally Perturbed Identity Matrices of Rank 2

Robi Bhattacharjee
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Abstract

The problem of optimal antipodal codes can be framed as finding low rank Gram matrices $G$ with $G_{ii} = 1$ and $|G_{ij}| \leq ε$ for $1 \leq i \neq j \leq n$. In 2018, Bukh and Cox introduced a new bounding technique by removing the condition that $G$ be a gram matrix. In this work, we investigate how tight this relaxation is, and find exact results for real valued matrices of rank $2$.

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Robi Bhattacharjee. 2019-07-12. Optimally Perturbed Identity Matrices of Rank 2. https://arxiv.org/abs/1907.05589

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