Information on Result #1715872
Digital (168, 196, 8541)-net over F3, using net defined by OOA based on linear OOA(3196, 8541, F3, 35, 28) (dual of [(8541, 35), 298739, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3196, 25624, F3, 5, 28) (dual of [(25624, 5), 127924, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3196, 25624, F3, 2, 28) (dual of [(25624, 2), 51052, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3196, 29552, F3, 2, 28) (dual of [(29552, 2), 58908, 29]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3192, 29550, F3, 2, 28) (dual of [(29550, 2), 58908, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3192, 59100, F3, 28) (dual of [59100, 58908, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(27) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3192, 59100, F3, 28) (dual of [59100, 58908, 29]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3192, 29550, F3, 2, 28) (dual of [(29550, 2), 58908, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3196, 29552, F3, 2, 28) (dual of [(29552, 2), 58908, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3196, 25624, F3, 2, 28) (dual of [(25624, 2), 51052, 29]-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.