Information on Result #1762460
Digital (89, 113, 1196)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3113, 1196, F3, 24) (dual of [1196, 1083, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3113, 2194, F3, 24) (dual of [2194, 2081, 25]-code), using
- 1 times truncation [i] based on linear OA(3114, 2195, F3, 25) (dual of [2195, 2081, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(3113, 2187, F3, 25) (dual of [2187, 2074, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3106, 2187, F3, 23) (dual of [2187, 2081, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(3114, 2195, F3, 25) (dual of [2195, 2081, 26]-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.