Information on Result #1645907
Linear OOA(3170, 11199, F3, 5, 26) (dual of [(11199, 5), 55825, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3170, 11199, F3, 26) (dual of [11199, 11029, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3170, 19744, F3, 26) (dual of [19744, 19574, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3109, 19683, F3, 19) (dual of [19683, 19574, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(316, 61, F3, 6) (dual of [61, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 80, F3, 6) (dual of [80, 64, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(316, 80, F3, 6) (dual of [80, 64, 7]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [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(3170, 3732, F3, 35, 26) (dual of [(3732, 35), 130450, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |