Information on Result #1713982
Digital (97, 115, 4928)-net over F3, using net defined by OOA based on linear OOA(3115, 4928, F3, 25, 18) (dual of [(4928, 25), 123085, 19]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3115, 9857, F3, 5, 18) (dual of [(9857, 5), 49170, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3115, 9858, F3, 5, 18) (dual of [(9858, 5), 49175, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3115, 9858, F3, 2, 18) (dual of [(9858, 2), 19601, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3115, 19716, F3, 18) (dual of [19716, 19601, 19]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- linear OA(3109, 19683, F3, 19) (dual of [19683, 19574, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(36, 33, F3, 3) (dual of [33, 27, 4]-code or 33-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(3115, 19716, F3, 18) (dual of [19716, 19601, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3115, 9858, F3, 2, 18) (dual of [(9858, 2), 19601, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3115, 9858, F3, 5, 18) (dual of [(9858, 5), 49175, 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.