Information on Result #1716034
Digital (174, 203, 8574)-net over F3, using net defined by OOA based on linear OOA(3203, 8574, F3, 35, 29) (dual of [(8574, 35), 299887, 30]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3203, 25723, F3, 5, 29) (dual of [(25723, 5), 128412, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3203, 25725, F3, 5, 29) (dual of [(25725, 5), 128422, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3203, 25725, F3, 2, 29) (dual of [(25725, 2), 51247, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3203, 29550, F3, 2, 29) (dual of [(29550, 2), 58897, 30]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3202, 29550, F3, 2, 29) (dual of [(29550, 2), 58898, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3202, 59100, F3, 29) (dual of [59100, 58898, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3151, 59049, F3, 23) (dual of [59049, 58898, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 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(3202, 59100, F3, 29) (dual of [59100, 58898, 30]-code), using
- 31 times duplication [i] based on linear OOA(3202, 29550, F3, 2, 29) (dual of [(29550, 2), 58898, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3203, 29550, F3, 2, 29) (dual of [(29550, 2), 58897, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3203, 25725, F3, 2, 29) (dual of [(25725, 2), 51247, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3203, 25725, F3, 5, 29) (dual of [(25725, 5), 128422, 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.