Information on Result #1716554
Digital (180, 213, 2835)-net over F3, using net defined by OOA based on linear OOA(3213, 2835, F3, 36, 33) (dual of [(2835, 36), 101847, 34]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3213, 11341, F3, 4, 33) (dual of [(11341, 4), 45151, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3213, 11344, F3, 4, 33) (dual of [(11344, 4), 45163, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3213, 11344, F3, 33) (dual of [11344, 11131, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3213, 19736, F3, 33) (dual of [19736, 19523, 34]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- 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(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(3213, 19736, F3, 33) (dual of [19736, 19523, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3213, 11344, F3, 33) (dual of [11344, 11131, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(3213, 11344, F3, 4, 33) (dual of [(11344, 4), 45163, 34]-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.