Information on Result #1714244
Digital (130, 149, 70736)-net over F3, using net defined by OOA based on linear OOA(3149, 70736, F3, 25, 19) (dual of [(70736, 25), 1768251, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3149, 141473, F3, 5, 19) (dual of [(141473, 5), 707216, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3149, 141473, F3, 3, 19) (dual of [(141473, 3), 424270, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3149, 177156, F3, 3, 19) (dual of [(177156, 3), 531319, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3149, 531468, F3, 19) (dual of [531468, 531319, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3149, 531469, F3, 19) (dual of [531469, 531320, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(3145, 531441, F3, 19) (dual of [531441, 531296, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(3149, 531469, F3, 19) (dual of [531469, 531320, 20]-code), using
- OOA 3-folding [i] based on linear OA(3149, 531468, F3, 19) (dual of [531468, 531319, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(3149, 177156, F3, 3, 19) (dual of [(177156, 3), 531319, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3149, 141473, F3, 3, 19) (dual of [(141473, 3), 424270, 20]-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.