Information on Result #865559
Linear OOA(2791, 4194301, F27, 2, 19) (dual of [(4194301, 2), 8388511, 20]-NRT-code), using OOA 2-folding based on linear OA(2791, 8388602, F27, 19) (dual of [8388602, 8388511, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2791, large, F27, 19) (dual of [large, large−91, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2793, 4194302, F27, 2, 19) (dual of [(4194302, 2), 8388511, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2795, 4194303, F27, 2, 19) (dual of [(4194303, 2), 8388511, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(2797, 4194304, F27, 2, 19) (dual of [(4194304, 2), 8388511, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(2799, 4194305, F27, 2, 19) (dual of [(4194305, 2), 8388511, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2792, 4194301, F27, 2, 19) (dual of [(4194301, 2), 8388510, 20]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(27100, 4194329, F27, 2, 19) (dual of [(4194329, 2), 8388558, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(27101, 4194339, F27, 2, 19) (dual of [(4194339, 2), 8388577, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(27102, 4194349, F27, 2, 19) (dual of [(4194349, 2), 8388596, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(27103, 4194353, F27, 2, 19) (dual of [(4194353, 2), 8388603, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(27104, 4194365, F27, 2, 19) (dual of [(4194365, 2), 8388626, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(27105, 4194369, F27, 2, 19) (dual of [(4194369, 2), 8388633, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(27106, 4194377, F27, 2, 19) (dual of [(4194377, 2), 8388648, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(27107, 4194393, F27, 2, 19) (dual of [(4194393, 2), 8388679, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(27108, 4194667, F27, 2, 19) (dual of [(4194667, 2), 8389226, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(27109, 4194668, F27, 2, 19) (dual of [(4194668, 2), 8389227, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(27110, 4194670, F27, 2, 19) (dual of [(4194670, 2), 8389230, 20]-NRT-code) | [i] | ||
| 17 | OOA(27103, 4194383, S27, 2, 19) | [i] | ||
| 18 | OOA(27105, 4194401, S27, 2, 19) | [i] | ||
| 19 | OOA(27106, 4194417, S27, 2, 19) | [i] | ||