Information on Result #1727864
Digital (60, 78, 7181)-net over F8, using net defined by OOA based on linear OOA(878, 7181, F8, 21, 18) (dual of [(7181, 21), 150723, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(878, 21544, F8, 3, 18) (dual of [(21544, 3), 64554, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(878, 21546, F8, 3, 18) (dual of [(21546, 3), 64560, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(878, 21546, F8, 18) (dual of [21546, 21468, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(878, 32777, F8, 18) (dual of [32777, 32699, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(866, 32768, F8, 15) (dual of [32768, 32702, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(878, 32777, F8, 18) (dual of [32777, 32699, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(878, 21546, F8, 18) (dual of [21546, 21468, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(878, 21546, F8, 3, 18) (dual of [(21546, 3), 64560, 19]-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.