Algorithms for Sampling Self-Orthogonal and Totally Self-Orthogonal Codes in Odd Characteristic 1YY0P4ZS0T
| URI | m2://res/1YY0P4ZS0T |
|---|---|
| Kind | preprint |
| Creators | Martin R. Albrecht, Benjamin Benčina, Russell W. F. Lai |
| Date | 2026-10-06 |
| MSC | 05-XX |
| Subjects | arxiv cs.IT, arxiv math.IT |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-06 |
| Ids | arXiv 2610.08664 |
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 |
|---|---|---|---|
| 1G7N0XJ6JY | statement | proposition 41 | arxiv |
| Galois square class | definition | definition 57 | arxiv |
| 1S2QGJ67H1 | statement | corollary 59 | arxiv |
| 2D75EACBEQ | statement | lemma 7 | arxiv |
| 35SX5SE6BA | statement | proposition 3 | arxiv |
| Algorithm \(\FindPlaneH\ | definition | definition 21 | arxiv |
| 6K2793KS9F | statement | lemma 20 | arxiv |
| 6MTGECPNWR | statement | theorem 48 | arxiv |
| 7FWG23QAGS | statement | proposition 58 | arxiv |
| 80ZJX0DE9A | statement | lemma 14 | arxiv |
| 9DYT5V6675 | statement | lemma 42 | arxiv |
| 9G470237PK | statement | lemma 52 | arxiv |
| 9QSVRF024Z | statement | proposition 61 | arxiv |
| Coefficient projection | definition | definition 31 | arxiv |
| B02XVJM9EJ | statement | proposition 2 | arxiv |
| BBBVKSJ3VF | statement | lemma 22 | arxiv |
| BC4Y1SAB1W | definition | definition 11 | arxiv |
| Algorithm \(\SampleTotal\ | definition | definition 47 | arxiv |
| LCD factor | definition | definition 8 | arxiv |
| Regular plane | definition | definition 13 | arxiv |
| C9MT1J4TZ7 | statement | corollary 30 | arxiv |
| Coefficient code | definition | definition 38 | arxiv |
| Algorithm \(\FindPlane\ | definition | definition 19 | arxiv |
| DRR1GQ8GG3 | statement | proposition 40 | arxiv |
| E0Q141AEWG | statement | corollary 50 | arxiv |
| F54RHDMK2D | statement | theorem 43 | arxiv |
| Algorithm \(\SampleSelfOrthogonal\ | definition | definition 23 | arxiv |
| G2GM52BV19 | statement | lemma 26 | arxiv |
| Galois dual and hull | definition | definition 34 | arxiv |
| Total hull | definition | definition 37 | arxiv |
| HESA2GDAA6 | statement | lemma 12 | arxiv |
| J3RNC6Q5BA | statement | proposition 33 | arxiv |
| Galois dehulling | statement | proposition 56 | arxiv |
| Algorithm \(\SampleLCD\ | definition | definition 16 | arxiv |
| KT81RMP2R9 | statement | corollary 9 | arxiv |
| KWYJKYJRJ7 | statement | proposition 1 | arxiv |
| Galois inner products | definition | definition 4 | arxiv |
| N8NZ6AWV5F | statement | lemma 45 | arxiv |
| PBQF5E3W9Y | statement | theorem 28 | arxiv |
| Moore code | definition | definition 39 | arxiv |
| T5C12NN97J | statement | proposition 55 | arxiv |
| Algorithm \(\SampleCode\ | definition | definition 27 | arxiv |
| TN7F6XT9WS | statement | proposition 60 | arxiv |
| TXCVS9J2ZS | statement | corollary 51 | arxiv |
| Galois and total orthogonality of vectors | definition | definition 32 | arxiv |
| Moore matrix and determinant | definition | definition 6 | arxiv |
| Algorithm \(\SampleHollow\ | definition | definition 29 | arxiv |
| Galois and total orthogonality of codes | definition | definition 35 | arxiv |
| X7X09J8RKG | statement | proposition 15 | arxiv |
| X7XD4SZZKG | statement | lemma 17 | arxiv |
| XYDJ0MKGRZ | statement | proposition 5 | arxiv |
| Y5SRVZG4T3 | statement | lemma 24 | arxiv |
| YF16PDE33D | statement | proposition 10 | arxiv |
| YZ8QK68SCF | statement | proposition 54 | arxiv |
Catalogue records
- arxiv: 2610.08664 (work)
- arxiv_text: 2610.08664 (work)