Information on Result #1738422
Digital (33, 44, 177153)-net over F27, using net defined by OOA based on linear OOA(2744, 177153, F27, 14, 11) (dual of [(177153, 14), 2480098, 12]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2744, 531460, F27, 2, 11) (dual of [(531460, 2), 1062876, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2744, 531461, F27, 2, 11) (dual of [(531461, 2), 1062878, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2744, 531461, F27, 11) (dual of [531461, 531417, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,3]) [i] based on
- linear OA(2741, 531442, F27, 11) (dual of [531442, 531401, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 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(273, 19, F27, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,27) or 19-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([0,5]) ⊂ C([0,3]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2744, 531461, F27, 11) (dual of [531461, 531417, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(2744, 531461, F27, 2, 11) (dual of [(531461, 2), 1062878, 12]-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.