Information on Result #1739610
Digital (51, 76, 2808)-net over F27, using net defined by OOA based on linear OOA(2776, 2808, F27, 26, 25) (dual of [(2808, 26), 72932, 26]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(2776, 16849, F27, 2, 25) (dual of [(16849, 2), 33622, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2776, 16853, F27, 2, 25) (dual of [(16853, 2), 33630, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2776, 16853, F27, 25) (dual of [16853, 16777, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2776, 19699, F27, 25) (dual of [19699, 19623, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2773, 19684, F27, 25) (dual of [19684, 19611, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2761, 19684, F27, 21) (dual of [19684, 19623, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(273, 15, F27, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,27) or 15-cap in PG(2,27)), using
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- Reed–Solomon code RS(24,27) [i]
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2776, 19699, F27, 25) (dual of [19699, 19623, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2776, 16853, F27, 25) (dual of [16853, 16777, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(2776, 16853, F27, 2, 25) (dual of [(16853, 2), 33630, 26]-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.