Information on Result #1717068
Digital (206, 246, 2466)-net over F3, using net defined by OOA based on linear OOA(3246, 2466, F3, 45, 40) (dual of [(2466, 45), 110724, 41]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3246, 9865, F3, 5, 40) (dual of [(9865, 5), 49079, 41]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3246, 9865, F3, 2, 40) (dual of [(9865, 2), 19484, 41]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3246, 19730, F3, 40) (dual of [19730, 19484, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(33) [i] based on
- linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(39) ⊂ Ce(33) [i] based on
- OOA 2-folding [i] based on linear OA(3246, 19730, F3, 40) (dual of [19730, 19484, 41]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3246, 9865, F3, 2, 40) (dual of [(9865, 2), 19484, 41]-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.