Information on Result #1806586
Digital (34, 66, 571)-net over F27, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2766, 571, F27, 32) (dual of [571, 505, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2766, 746, F27, 32) (dual of [746, 680, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- linear OA(2760, 729, F27, 32) (dual of [729, 669, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2749, 729, F27, 25) (dual of [729, 680, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(276, 17, F27, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
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.