Information on Result #1764263
Digital (124, 148, 8987)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3148, 8987, F3, 2, 24) (dual of [(8987, 2), 17826, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3148, 9852, F3, 2, 24) (dual of [(9852, 2), 19556, 25]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3146, 9851, F3, 2, 24) (dual of [(9851, 2), 19556, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3146, 19702, F3, 24) (dual of [19702, 19556, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(31, 19, F3, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3146, 19702, F3, 24) (dual of [19702, 19556, 25]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3146, 9851, F3, 2, 24) (dual of [(9851, 2), 19556, 25]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.