Information on Result #1738646
Digital (22, 37, 354)-net over F27, using net defined by OOA based on linear OOA(2737, 354, F27, 18, 15) (dual of [(354, 18), 6335, 16]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2737, 1417, F27, 2, 15) (dual of [(1417, 2), 2797, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2737, 1418, F27, 2, 15) (dual of [(1418, 2), 2799, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2737, 1418, F27, 15) (dual of [1418, 1381, 16]-code), using
- 1368 step Varšamov–Edel lengthening with (ri) = (4, 1, 0, 1, 0, 0, 0, 1, 6 times 0, 1, 8 times 0, 1, 12 times 0, 1, 16 times 0, 1, 20 times 0, 1, 26 times 0, 1, 34 times 0, 1, 43 times 0, 1, 54 times 0, 1, 70 times 0, 1, 90 times 0, 1, 113 times 0, 1, 144 times 0, 1, 183 times 0, 1, 232 times 0, 1, 294 times 0) [i] based on linear OA(2715, 28, F27, 15) (dual of [28, 13, 16]-code or 28-arc in PG(14,27)), using
- extended Reed–Solomon code RSe(13,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- 1368 step Varšamov–Edel lengthening with (ri) = (4, 1, 0, 1, 0, 0, 0, 1, 6 times 0, 1, 8 times 0, 1, 12 times 0, 1, 16 times 0, 1, 20 times 0, 1, 26 times 0, 1, 34 times 0, 1, 43 times 0, 1, 54 times 0, 1, 70 times 0, 1, 90 times 0, 1, 113 times 0, 1, 144 times 0, 1, 183 times 0, 1, 232 times 0, 1, 294 times 0) [i] based on linear OA(2715, 28, F27, 15) (dual of [28, 13, 16]-code or 28-arc in PG(14,27)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2737, 1418, F27, 15) (dual of [1418, 1381, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(2737, 1418, F27, 2, 15) (dual of [(1418, 2), 2799, 16]-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.