Information on Result #1716038
Digital (176, 205, 9331)-net over F3, using net defined by OOA based on linear OOA(3205, 9331, F3, 35, 29) (dual of [(9331, 35), 326380, 30]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3205, 27994, F3, 5, 29) (dual of [(27994, 5), 139765, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3205, 27996, F3, 5, 29) (dual of [(27996, 5), 139775, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3205, 27996, F3, 2, 29) (dual of [(27996, 2), 55787, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3205, 29551, F3, 2, 29) (dual of [(29551, 2), 58897, 30]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3204, 29551, F3, 2, 29) (dual of [(29551, 2), 58898, 30]-NRT-code), using
- 1 times NRT-code embedding in larger space [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
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3202, 29550, F3, 2, 29) (dual of [(29550, 2), 58898, 30]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3204, 29551, F3, 2, 29) (dual of [(29551, 2), 58898, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3205, 29551, F3, 2, 29) (dual of [(29551, 2), 58897, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3205, 27996, F3, 2, 29) (dual of [(27996, 2), 55787, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3205, 27996, F3, 5, 29) (dual of [(27996, 5), 139775, 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.