Sensitivity of Rotation Symmetric Boolean Functions via Binary Necklaces YY81ZEJ82P
| URI | m2://res/YY81ZEJ82P |
|---|---|
| Kind | preprint |
| Creators | Yuan Li, Jing Zhang |
| Date | 2026-10-12 |
| MSC | 05-XX |
| Subjects | arxiv math.CO, arxiv cs.CC, arxiv cs.DM |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-12 |
| Ids | arXiv 2610.17006 |
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 |
|---|---|---|---|
| Cyclic block optimization | statement | lemma 8.1 | arxiv |
| The four boundary layers | statement | proposition 6.3 | arxiv |
| A criterion for submaximal sensitivity | statement | corollary 6.5 | arxiv |
| Prime local sensitivity formula | statement | theorem 6.1 | arxiv |
| Necklace sensitivity formula | statement | theorem 2.2 | arxiv |
| Prime near-period lemma | statement | lemma 5.3 | arxiv |
| Parity theorem for MRS functions | statement | theorem 7.2 | arxiv |
| Explicit prime formula | statement | corollary 6.2 | arxiv |
| Flip-equivalence criterion | statement | theorem 3.1 | arxiv |
| JCS445553P | statement | lemma 2.1 | arxiv |
| JTMY8VCRSC | statement | corollary 8.3 | arxiv |
| Exact run-threshold sensitivity | statement | theorem 8.2 | arxiv |
| Incidence formula | statement | proposition 7.1 | arxiv |
| Complete odd-prime sensitivity formula | statement | theorem 6.4 | arxiv |
| Odd prime length | statement | corollary 7.5 | arxiv |
| Prime arithmetic-interval uniqueness | statement | corollary 5.2 | arxiv |
| Generic simplicity at prime length | statement | corollary 6.6 | arxiv |
| Sensitivity of quadratic MRS functions | statement | theorem 7.4 | arxiv |
| Multiplicity formula | statement | theorem 4.1 | arxiv |
| Uniqueness of the step | statement | lemma 5.1 | arxiv |
| Distance-two rotation structure; Makhynko | statement | theorem 3.2 | arxiv |
| Odd-degree MRS functions | statement | corollary 7.3 | arxiv |
| Balance identity | statement | proposition 4.2 | arxiv |
| Prime multiplicities | statement | theorem 5.4 | arxiv |
| Consecutive quartic sensitivity | statement | theorem 7.6 | arxiv |
Catalogue records
- arxiv: 2610.17006 (work)
- arxiv_text: 2610.17006 (work)