Information on Result #1727140
Digital (41, 52, 16396)-net over F8, using net defined by OOA based on linear OOA(852, 16396, F8, 15, 11) (dual of [(16396, 15), 245888, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(852, 32793, F8, 3, 11) (dual of [(32793, 3), 98327, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(852, 32794, F8, 3, 11) (dual of [(32794, 3), 98330, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(852, 32794, F8, 11) (dual of [32794, 32742, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(5) [i] based on
- linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(826, 32768, F8, 6) (dual of [32768, 32742, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(86, 26, F8, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- construction X applied to Ce(10) ⊂ Ce(5) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(852, 32794, F8, 11) (dual of [32794, 32742, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(852, 32794, F8, 3, 11) (dual of [(32794, 3), 98330, 12]-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.