Information on Result #1772119
Digital (213, 247, 45716)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3247, 45716, F3, 3, 34) (dual of [(45716, 3), 136901, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3247, 59057, F3, 3, 34) (dual of [(59057, 3), 176924, 35]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3247, 177171, F3, 34) (dual of [177171, 176924, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3247, 177173, F3, 34) (dual of [177173, 176926, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- linear OA(3243, 177147, F3, 34) (dual of [177147, 176904, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 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(33) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(3247, 177173, F3, 34) (dual of [177173, 176926, 35]-code), using
- OOA 3-folding [i] based on linear OA(3247, 177171, F3, 34) (dual of [177171, 176924, 35]-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.