Information on Result #1716010
Digital (160, 189, 3814)-net over F3, using net defined by OOA based on linear OOA(3189, 3814, F3, 35, 29) (dual of [(3814, 35), 133301, 30]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3189, 11443, F3, 5, 29) (dual of [(11443, 5), 57026, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3189, 11444, F3, 5, 29) (dual of [(11444, 5), 57031, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3189, 11444, F3, 29) (dual of [11444, 11255, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3189, 19745, F3, 29) (dual of [19745, 19556, 30]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3187, 19743, F3, 29) (dual of [19743, 19556, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(315, 60, F3, 6) (dual of [60, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3187, 19743, F3, 29) (dual of [19743, 19556, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3189, 19745, F3, 29) (dual of [19745, 19556, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3189, 11444, F3, 29) (dual of [11444, 11255, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(3189, 11444, F3, 5, 29) (dual of [(11444, 5), 57031, 30]-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.