Information on Result #1761420
Digital (71, 85, 9764)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(385, 9764, F3, 2, 14) (dual of [(9764, 2), 19443, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(385, 9848, F3, 2, 14) (dual of [(9848, 2), 19611, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(385, 19696, F3, 14) (dual of [19696, 19611, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(382, 19683, F3, 14) (dual of [19683, 19601, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(364, 19683, F3, 11) (dual of [19683, 19619, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(13) ⊂ Ce(10) [i] based on
- OOA 2-folding [i] based on linear OA(385, 19696, F3, 14) (dual of [19696, 19611, 15]-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.