Information on Result #1712398
Digital (38, 46, 9845)-net over F3, using net defined by OOA based on linear OOA(346, 9845, F3, 12, 8) (dual of [(9845, 12), 118094, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(346, 9846, F3, 4, 8) (dual of [(9846, 4), 39338, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(346, 9846, F3, 2, 8) (dual of [(9846, 2), 19646, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(346, 19692, F3, 8) (dual of [19692, 19646, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(346, 19683, F3, 8) (dual of [19683, 19637, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(337, 19683, F3, 7) (dual of [19683, 19646, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- OOA 2-folding [i] based on linear OA(346, 19692, F3, 8) (dual of [19692, 19646, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(346, 9846, F3, 2, 8) (dual of [(9846, 2), 19646, 9]-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.