Information on Result #1715030
Digital (104, 127, 1098)-net over F3, using net defined by OOA based on linear OOA(3127, 1098, F3, 28, 23) (dual of [(1098, 28), 30617, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3127, 3295, F3, 4, 23) (dual of [(3295, 4), 13053, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3127, 3295, F3, 2, 23) (dual of [(3295, 2), 6463, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3127, 6590, F3, 23) (dual of [6590, 6463, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3127, 6591, F3, 23) (dual of [6591, 6464, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-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(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3127, 6591, F3, 23) (dual of [6591, 6464, 24]-code), using
- OOA 2-folding [i] based on linear OA(3127, 6590, F3, 23) (dual of [6590, 6463, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3127, 3295, F3, 2, 23) (dual of [(3295, 2), 6463, 24]-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.