Information on Result #1314927
Linear OA(2780, 1018, F27, 36) (dual of [1018, 938, 37]-code), using 937 step Varšamov–Edel lengthening with (ri) = (3, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 16 times 0, 1, 18 times 0, 1, 20 times 0, 1, 22 times 0, 1, 25 times 0, 1, 27 times 0, 1, 30 times 0, 1, 33 times 0, 1, 36 times 0, 1, 40 times 0, 1, 45 times 0, 1, 49 times 0, 1, 54 times 0, 1, 60 times 0, 1, 65 times 0, 1, 73 times 0, 1, 80 times 0, 1, 88 times 0) based on linear OA(2736, 37, F27, 36) (dual of [37, 1, 37]-code or 37-arc in PG(35,27)), using
- dual of repetition code with length 37 [i]
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2780, 1018, F27, 2, 36) (dual of [(1018, 2), 1956, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (44, 80, 1018)-net over F27 | [i] | ||
| 3 | Linear OOA(2780, 509, F27, 2, 36) (dual of [(509, 2), 938, 37]-NRT-code) | [i] | OOA Folding | |