Information on Result #1652677
Linear OOA(3250, 11871, F3, 5, 39) (dual of [(11871, 5), 59105, 40]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3250, 11871, F3, 39) (dual of [11871, 11621, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(3250, 19743, F3, 39) (dual of [19743, 19493, 40]-code), using
- construction X applied to Ce(39) ⊂ Ce(31) [i] based on
- linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(315, 60, F3, 6) (dual of [60, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(39) ⊂ Ce(31) [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(3250, 2967, F3, 45, 39) (dual of [(2967, 45), 133265, 40]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |