Information on Result #1314756
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) 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]
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2737, 1418, F27, 2, 15) (dual of [(1418, 2), 2799, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (22, 37, 1418)-net over F27 | [i] | ||
| 3 | Linear OOA(2737, 709, F27, 2, 15) (dual of [(709, 2), 1381, 16]-NRT-code) | [i] | OOA Folding | |