Information on Result #547743
There is no linear OA(353, 59, F3, 36) (dual of [59, 6, 37]-code), because construction Y1 would yield
- linear OA(352, 56, F3, 36) (dual of [56, 4, 37]-code), but
- linear OA(36, 59, F3, 3) (dual of [59, 53, 4]-code or 59-cap in PG(5,3)), but
- discarding factors / shortening the dual code would yield linear OA(36, 57, F3, 3) (dual of [57, 51, 4]-code or 57-cap in PG(5,3)), but
- doubling the cap [i] would yield 114-cap in AG(6,3), but
- discarding factors / shortening the dual code would yield 113-cap in AG(6,3), but
- doubling the cap [i] would yield 114-cap in AG(6,3), but
- discarding factors / shortening the dual code would yield linear OA(36, 57, F3, 3) (dual of [57, 51, 4]-code or 57-cap in PG(5,3)), but
Mode: Bound (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 | No linear OA(354, 65, F3, 36) (dual of [65, 11, 37]-code) | [i] | Construction Y1 (Bound) | |