Information on Result #1738158
Digital (5, 10, 1374)-net over F27, using net defined by OOA based on linear OOA(2710, 1374, F27, 6, 5) (dual of [(1374, 6), 8234, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2710, 1375, F27, 2, 5) (dual of [(1375, 2), 2740, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2710, 1375, F27, 5) (dual of [1375, 1365, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2710, 1406, F27, 5) (dual of [1406, 1396, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(273, 703, F27, 2) (dual of [703, 700, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(273, 728, F27, 2) (dual of [728, 725, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(273, 728, F27, 2) (dual of [728, 725, 3]-code), using
- linear OA(277, 703, F27, 5) (dual of [703, 696, 6]-code), using
- linear OA(273, 703, F27, 2) (dual of [703, 700, 3]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2710, 1406, F27, 5) (dual of [1406, 1396, 6]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2710, 1375, F27, 5) (dual of [1375, 1365, 6]-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.