Information on Result #625114
Linear OA(37, 112, F3, 3) (dual of [112, 105, 4]-code or 112-cap in PG(6,3)), using doubling the cap based on linear OA(36, 56, F3, 3) (dual of [56, 50, 4]-code or 56-cap in PG(5,3)), using
Mode: Constructive and 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(37, 112, F3, 2, 3) (dual of [(112, 2), 217, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 2 | Linear OOA(37, 111, F3, 3, 3) (dual of [(111, 3), 326, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |