Information on Result #1738230
Digital (19, 26, 265725)-net over F27, using net defined by OOA based on linear OOA(2726, 265725, F27, 10, 7) (dual of [(265725, 10), 2657224, 8]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2726, 531451, F27, 2, 7) (dual of [(531451, 2), 1062876, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2726, 531452, F27, 2, 7) (dual of [(531452, 2), 1062878, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2726, 531452, F27, 7) (dual of [531452, 531426, 8]-code), using
- construction X4 applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(2725, 531442, F27, 7) (dual of [531442, 531417, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(2717, 531442, F27, 5) (dual of [531442, 531425, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(279, 10, F27, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,27)), using
- dual of repetition code with length 10 [i]
- linear OA(271, 10, F27, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, 27, F27, 1) (dual of [27, 26, 2]-code), using
- Reed–Solomon code RS(26,27) [i]
- discarding factors / shortening the dual code based on linear OA(271, 27, F27, 1) (dual of [27, 26, 2]-code), using
- construction X4 applied to C([0,3]) ⊂ C([0,2]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2726, 531452, F27, 7) (dual of [531452, 531426, 8]-code), using
- discarding factors / shortening the dual code based on linear OOA(2726, 531452, F27, 2, 7) (dual of [(531452, 2), 1062878, 8]-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.