Information on Result #1806271
Digital (24, 51, 275)-net over F27, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2751, 275, F27, 27) (dual of [275, 224, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2751, 364, F27, 27) (dual of [364, 313, 28]-code), using
- 2 times truncation [i] based on linear OA(2753, 366, F27, 29) (dual of [366, 313, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2753, 365, F27, 29) (dual of [365, 312, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2752, 365, F27, 28) (dual of [365, 313, 29]-code), using an extension Ce(27) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- 2 times truncation [i] based on linear OA(2753, 366, F27, 29) (dual of [366, 313, 30]-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.