Information on Result #676053
Linear OA(369, 2207, F3, 14) (dual of [2207, 2138, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
- linear OA(364, 2187, F3, 14) (dual of [2187, 2123, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(369, 1326, F3, 2, 14) (dual of [(1326, 2), 2583, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(369, 1326, F3, 3, 14) (dual of [(1326, 3), 3909, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(369, 1326, F3, 4, 14) (dual of [(1326, 4), 5235, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(369, 1326, F3, 5, 14) (dual of [(1326, 5), 6561, 15]-NRT-code) | [i] | ||
| 5 | Digital (55, 69, 1326)-net over F3 | [i] | ||
| 6 | Linear OOA(369, 1103, F3, 2, 14) (dual of [(1103, 2), 2137, 15]-NRT-code) | [i] | OOA Folding | |