Algebraic-Geometric Parvaresh--Vardy Subspace Designs and Rank Condensers N4M6B8EMCW
| URI | m2://res/N4M6B8EMCW |
|---|---|
| Kind | preprint |
| Creators | Gil Cohen, Dean Doron, Noam Goldgraber |
| Date | 2026-09-26 |
| MSC | 05-XX |
| Subjects | arxiv cs.CC, arxiv cs.IT, arxiv math.IT |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-26 |
| Ids | arXiv 2609.32834 |
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 |
|---|---|---|---|
| 1VKV741TAZ | statement | theorem 1.2 | arxiv |
| Lossy rank condenser | definition | definition 1.3 | arxiv |
| Kernel dimension and determinant valuation | statement | lemma 2.15 | arxiv |
| Garcia--Stichtenoth tower | definition | definition 2.12 | arxiv |
| Explicit lossless rank extractors | statement | corollary 4.9 | arxiv |
| Condensers for affine sources | statement | corollary 4.14 | arxiv |
| Lossless rank extractor | definition | definition 1.5 | arxiv |
| Hasse--Weil | statement | theorem 2.8 | arxiv |
| Number of degree-$r$ places | statement | corollary 2.9 | arxiv |
| 7WTXEBGPH3 | statement | lemma 3.5 | arxiv |
| Ihara's constant | definition | definition 2.10 | arxiv |
| Moore Matrix | definition | definition 3.2 | arxiv |
| Negative-degree divisors | statement | lemma 2.6 | arxiv |
| Affine-evaluation kernel bound | statement | proposition 4.4 | arxiv |
| The Garcia--Stichtenoth tower | statement | theorem 2.13 | arxiv |
| Strong subspace designs over arbitrary finite fields | statement | theorem 4.6 | arxiv |
| Strong blocking sets over arbitrary finite fields | statement | corollary 4.12 | arxiv |
| DN3RTM5HBS | statement | lemma 4.1 | arxiv |
| Lossy rank condensers over arbitrary finite fields | statement | corollary 4.8 | arxiv |
| Explicit place of prime degree | statement | proposition 3.7 | arxiv |
| seeded condenser for affine sources | definition | definition 4.13 | arxiv |
| PV-Moore matrix | definition | definition 3.3 | arxiv |
| Function field family with many degree-$d$ places | statement | proposition 4.5 | arxiv |
| MFQACW9D6G | statement | theorem 1.6 | arxiv |
| Degree of a principal divisor | statement | lemma 2.5 | arxiv |
| AGPV subspace design | definition | definition 3.1 | arxiv |
| R4ZBYNBXGV | statement | proposition 3.4 | arxiv |
| REJNJ26P1W | statement | theorem 3.8 | arxiv |
| Strong subspace designs over arbitrary finite fields | statement | corollary 4.7 | arxiv |
| Projective space and projective subspace | definition | definition 4.10 | arxiv |
| Riemann--Roch | statement | theorem 2.7 | arxiv |
| Strong blocking set | definition | definition 4.11 | arxiv |
| Drinfeld--Vladut bound | statement | theorem 2.11 | arxiv |
| Affine-evaluation AGPV construction | definition | definition 4.2 | arxiv |
| VFXC6N9TKZ | statement | proposition 3.6 | arxiv |
| Bertrand's postulate | statement | fact 2.4 | arxiv |
| XRBPAZQX9G | statement | theorem 1.4 | arxiv |
| Subspace design | definition | definition 1.1 | arxiv |
| Strong subspace designs as lossy rank condensers | statement | proposition 2.1 | arxiv |
| Multiplicity Schwartz--Zippel bound | statement | lemma 2.3 | arxiv |
| Places under a constant-field extension | statement | lemma 2.14 | arxiv |
Catalogue records
- arxiv: 2609.32834 (work)
- arxiv_text: 2609.32834 (work)