Information on Result #1601698
Linear OOA(369, 1326, F3, 4, 14) (dual of [(1326, 4), 5235, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(369, 1326, F3, 14) (dual of [1326, 1257, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(369, 2207, F3, 14) (dual of [2207, 2138, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] 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
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
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(369, 662, F3, 20, 14) (dual of [(662, 20), 13171, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |