Information on Result #1762877
Digital (91, 122, 546)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3122, 546, F3, 31) (dual of [546, 424, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3122, 742, F3, 31) (dual of [742, 620, 32]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3121, 741, F3, 31) (dual of [741, 620, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(3118, 729, F3, 31) (dual of [729, 611, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3109, 729, F3, 28) (dual of [729, 620, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(33, 12, F3, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3121, 741, F3, 31) (dual of [741, 620, 32]-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.