Information on Result #1763295
Digital (108, 130, 6565)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3130, 6565, F3, 3, 22) (dual of [(6565, 3), 19565, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3130, 19695, F3, 22) (dual of [19695, 19565, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3130, 19696, F3, 22) (dual of [19696, 19566, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- 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(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(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3130, 19696, F3, 22) (dual of [19696, 19566, 23]-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.