Lattices with Large Kissing Number from Local Density 2ZRQP063HP
| URI | m2://res/2ZRQP063HP |
|---|---|
| Kind | preprint |
| Creators | Huck Bennett, Minki Hhan, Zihan Li, Noah Stephens-Davidowitz |
| Date | 2026-10-09 |
| MSC | 51-XX, 52-XX, 11-XX |
| Subjects | arxiv math.MG, arxiv math.NT |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-09 |
| Ids | arXiv 2610.14380 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Kissing number from exact locally dense lattice | statement | theorem 3.1 | arxiv |
| Exact locally dense lattice from sparsification | statement | theorem 3.2 | arxiv |
| 1YNY7ZB6XK | statement | lemma A.4 | arxiv |
| 3Q1TW26599 | statement | lemma A.1 | arxiv |
| 4APAYETMWA | statement | theorem 1.1 | arxiv |
| 4GEATHCQ7Z | statement | theorem 4.6 | arxiv |
| Chebyshev concentration | statement | lemma A.2 | arxiv |
| Reed-Solomon lattices | definition | definition 2.9 | arxiv |
| 9WMK88E34Q | statement | theorem 4.1 | arxiv |
| B1X6HBY31R | statement | lemma | arxiv |
| Refinement | statement | theorem 4.5 | arxiv |
| D4VQE8E1ZM | statement | corollary 5.5 | arxiv |
| DN36S76Z9E | statement | theorem 2.10 | arxiv |
| EPCVNSCMZC | statement | theorem 1.3 | arxiv |
| EZ8MD55MMV | definition | definition 2.7 | arxiv |
| GY5B7HER4H | statement | theorem 4.4 | arxiv |
| Explicit construction for $p\ge 1$ | statement | corollary 4.7 | arxiv |
| J0YYAC5EK1 | statement | corollary 4.2 | arxiv |
| KEBAN4NRC1 | statement | fact 2.5 | arxiv |
| Exact locally dense lattice | definition | definition 1.2 | arxiv |
| NYQVXTTHXQ | statement | lemma 5.6 | arxiv |
| P59EM6P446 | statement | fact 2.1 | arxiv |
| Q4NX0V67WY | statement | fact 2.3 | arxiv |
| QDH5G7Z184 | statement | lemma 2.6 | arxiv |
| Exponential kissing number for $p>p_0$ | statement | corollary 5.2 | arxiv |
| S4HF50Z0EJ | statement | theorem 5.1 | arxiv |
| SV7089KKHE | statement | theorem 2.8 | arxiv |
| SW1JTV84HP | statement | lemma A.3 | arxiv |
| Sparsification with a careful shift | statement | proposition 2.11 | arxiv |
| The Hadamard matrix | definition | definition 2.4 | arxiv |
| V4C4WHJ0S7 | statement | theorem 5.4 | arxiv |
| VDEGTJB60D | statement | lemma 2.2 | arxiv |
| Closest vectors are preserved by Hadamard | statement | lemma 5.3 | arxiv |
| Exponential kissing number for $p>2$ | statement | corollary 5.8 | arxiv |
| Z0YCD96X8W | statement | lemma 5.7 | arxiv |
Catalogue records
- arxiv: 2610.14380 (work)
- arxiv_text: 2610.14380 (work)