Information on Result #3262195
Digital (116, 147, 2187)-net over F8, using 83 times duplication based on digital (113, 144, 2187)-net over F8, using
- net defined by OOA [i] based on linear OOA(8144, 2187, F8, 31, 31) (dual of [(2187, 31), 67653, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(8144, 32806, F8, 31) (dual of [32806, 32662, 32]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8143, 32805, F8, 31) (dual of [32805, 32662, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(24) [i] based on
- linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(30) ⊂ Ce(24) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(8143, 32805, F8, 31) (dual of [32805, 32662, 32]-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(8144, 32806, F8, 31) (dual of [32806, 32662, 32]-code), using
Mode: Constructive and 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.