Information on Result #1728406
Digital (78, 100, 8197)-net over F8, using net defined by OOA based on linear OOA(8100, 8197, F8, 27, 22) (dual of [(8197, 27), 221219, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8100, 32789, F8, 3, 22) (dual of [(32789, 3), 98267, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8100, 32792, F8, 3, 22) (dual of [(32792, 3), 98276, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8100, 32792, F8, 22) (dual of [32792, 32692, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 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(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8100, 32792, F8, 22) (dual of [32792, 32692, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(8100, 32792, F8, 3, 22) (dual of [(32792, 3), 98276, 23]-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.