On the restricted isometry property of the Paley matrix

October 19, 2020 · The Ethereal · 🏛 arXiv.org

🔮 THE ETHEREAL: The Ethereal
Pure theory — exists on a plane beyond code

"No code URL or promise found in abstract"

Evidence collected by the PWNC Scanner

Authors Shohei Satake arXiv ID 2011.02907 Category math.CO: Combinatorics Cross-listed cs.IT Citations 3 Venue arXiv.org Last Checked 6 months ago
Abstract
In this paper, we prove that the Paley graph conjecture implies that the Paley matrix has restricted isometry property (RIP) beating the square-root bottleneck for the sparsity level. Moreover, we show that the RIP of the Paley matrix implies an improved bound on the size of transitive subtournaments in the Paley tournament.
Community shame:
Not yet rated
📄 View on arXiv 🌐 View on ar5iv 📑 PDF 🎉 Report Code Found
Community Contributions

Found the code? Know the venue? Think something is wrong? Let us know!

📜 Similar Papers

In the same crypt — Combinatorics

🔮 🔮 The Ethereal

Tables of subspace codes

Daniel Heinlein, Michael Kiermaier, ... (+2 more)

math.CO 🏛 arXiv 📚 94 cites 10 years ago