Information on Result #1716060
Digital (194, 223, 19975)-net over F3, using net defined by OOA based on linear OOA(3223, 19975, F3, 35, 29) (dual of [(19975, 35), 698902, 30]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3223, 59926, F3, 5, 29) (dual of [(59926, 5), 299407, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3223, 59926, F3, 2, 29) (dual of [(59926, 2), 119629, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3223, 88602, F3, 2, 29) (dual of [(88602, 2), 176981, 30]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3221, 88601, F3, 2, 29) (dual of [(88601, 2), 176981, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3221, 177202, F3, 29) (dual of [177202, 176981, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(3210, 177147, F3, 29) (dual of [177147, 176937, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 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(28) ⊂ Ce(22) [i] based on
- OOA 2-folding [i] based on linear OA(3221, 177202, F3, 29) (dual of [177202, 176981, 30]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3221, 88601, F3, 2, 29) (dual of [(88601, 2), 176981, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3223, 88602, F3, 2, 29) (dual of [(88602, 2), 176981, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3223, 59926, F3, 2, 29) (dual of [(59926, 2), 119629, 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.