Information on Result #1716544
Digital (172, 205, 2464)-net over F3, using net defined by OOA based on linear OOA(3205, 2464, F3, 36, 33) (dual of [(2464, 36), 88499, 34]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3205, 9857, F3, 4, 33) (dual of [(9857, 4), 39223, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3205, 9858, F3, 4, 33) (dual of [(9858, 4), 39227, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3205, 9858, F3, 2, 33) (dual of [(9858, 2), 19511, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3205, 19716, F3, 33) (dual of [19716, 19511, 34]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [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(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(36, 33, F3, 3) (dual of [33, 27, 4]-code or 33-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(33) ⊂ Ce(28) [i] based on
- OOA 2-folding [i] based on linear OA(3205, 19716, F3, 33) (dual of [19716, 19511, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3205, 9858, F3, 2, 33) (dual of [(9858, 2), 19511, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3205, 9858, F3, 4, 33) (dual of [(9858, 4), 39227, 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.