Information on Result #1418491
Linear OOA(3238, 2081, F3, 2, 50) (dual of [(2081, 2), 3924, 51]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3238, 2081, F3, 50) (dual of [2081, 1843, 51]-code), using
- discarding factors / shortening the dual code based on linear OA(3238, 2214, F3, 50) (dual of [2214, 1976, 51]-code), using
- construction X applied to Ce(49) ⊂ Ce(45) [i] based on
- linear OA(3232, 2187, F3, 50) (dual of [2187, 1955, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3211, 2187, F3, 46) (dual of [2187, 1976, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [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(49) ⊂ Ce(45) [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(3238, 1040, F3, 3, 50) (dual of [(1040, 3), 2882, 51]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3238, 1040, F3, 4, 50) (dual of [(1040, 4), 3922, 51]-NRT-code) | [i] | ||