Information on Result #1713230
Digital (65, 79, 1663)-net over F3, using net defined by OOA based on linear OOA(379, 1663, F3, 20, 14) (dual of [(1663, 20), 33181, 15]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(379, 3327, F3, 4, 14) (dual of [(3327, 4), 13229, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(379, 3328, F3, 4, 14) (dual of [(3328, 4), 13233, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(379, 3328, F3, 14) (dual of [3328, 3249, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(379, 6591, F3, 14) (dual of [6591, 6512, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(373, 6561, F3, 14) (dual of [6561, 6488, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(13) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(379, 6591, F3, 14) (dual of [6591, 6512, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(379, 3328, F3, 14) (dual of [3328, 3249, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(379, 3328, F3, 4, 14) (dual of [(3328, 4), 13233, 15]-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.