Information on Result #1414478
Linear OOA(3195, 11395, F3, 2, 30) (dual of [(11395, 2), 22595, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3195, 11395, F3, 30) (dual of [11395, 11200, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3195, 19736, F3, 30) (dual of [19736, 19541, 31]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [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(3195, 5697, F3, 4, 30) (dual of [(5697, 4), 22593, 31]-NRT-code) | [i] | OOA Folding | |