Information on Result #1414551
Linear OOA(3196, 1835, F3, 2, 41) (dual of [(1835, 2), 3474, 42]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3196, 1835, F3, 41) (dual of [1835, 1639, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, 2214, F3, 41) (dual of [2214, 2018, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(36) [i] based on
- linear OA(3190, 2187, F3, 41) (dual of [2187, 1997, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(36, 27, F3, 3) (dual of [27, 21, 4]-code or 27-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(40) ⊂ Ce(36) [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(3196, 917, F3, 3, 41) (dual of [(917, 3), 2555, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3196, 917, F3, 4, 41) (dual of [(917, 4), 3472, 42]-NRT-code) | [i] | ||