Information on Result #1739708
Digital (54, 80, 2770)-net over F27, using net defined by OOA based on linear OOA(2780, 2770, F27, 30, 26) (dual of [(2770, 30), 83020, 27]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(2780, 19391, F27, 2, 26) (dual of [(19391, 2), 38702, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2780, 19395, F27, 2, 26) (dual of [(19395, 2), 38710, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2780, 19395, F27, 26) (dual of [19395, 19315, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2780, 19702, F27, 26) (dual of [19702, 19622, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2761, 19683, F27, 21) (dual of [19683, 19622, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(274, 19, F27, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(2780, 19702, F27, 26) (dual of [19702, 19622, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2780, 19395, F27, 26) (dual of [19395, 19315, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(2780, 19395, F27, 2, 26) (dual of [(19395, 2), 38710, 27]-NRT-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.