Information on Result #1805828
Digital (4, 10, 107)-net over F27, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2710, 107, F27, 6) (dual of [107, 97, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(2710, 105, F27, 6) (dual of [105, 95, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(278, 105, F27, 5) (dual of [105, 97, 6]-code), using an extension Ce(4) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 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
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.