Information on Result #865490
Linear OOA(2786, 4194301, F27, 2, 18) (dual of [(4194301, 2), 8388516, 19]-NRT-code), using OOA 2-folding based on linear OA(2786, 8388602, F27, 18) (dual of [8388602, 8388516, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2786, large, F27, 18) (dual of [large, large−86, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(2788, 4194302, F27, 2, 18) (dual of [(4194302, 2), 8388516, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2790, 4194303, F27, 2, 18) (dual of [(4194303, 2), 8388516, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(2792, 4194304, F27, 2, 18) (dual of [(4194304, 2), 8388516, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(2794, 4194305, F27, 2, 18) (dual of [(4194305, 2), 8388516, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(2787, 4194301, F27, 2, 18) (dual of [(4194301, 2), 8388515, 19]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2795, 4194329, F27, 2, 18) (dual of [(4194329, 2), 8388563, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(2796, 4194339, F27, 2, 18) (dual of [(4194339, 2), 8388582, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(2797, 4194349, F27, 2, 18) (dual of [(4194349, 2), 8388601, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(2798, 4194353, F27, 2, 18) (dual of [(4194353, 2), 8388608, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(2799, 4194365, F27, 2, 18) (dual of [(4194365, 2), 8388631, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(27100, 4194369, F27, 2, 18) (dual of [(4194369, 2), 8388638, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(27101, 4194377, F27, 2, 18) (dual of [(4194377, 2), 8388653, 19]-NRT-code) | [i] | ||
| 13 | Linear OOA(27102, 4194393, F27, 2, 18) (dual of [(4194393, 2), 8388684, 19]-NRT-code) | [i] | ||
| 14 | Linear OOA(27103, 4194667, F27, 2, 18) (dual of [(4194667, 2), 8389231, 19]-NRT-code) | [i] | ||
| 15 | Linear OOA(27104, 4194668, F27, 2, 18) (dual of [(4194668, 2), 8389232, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(27105, 4194670, F27, 2, 18) (dual of [(4194670, 2), 8389235, 19]-NRT-code) | [i] | ||
| 17 | Linear OOA(27106, 4194671, F27, 2, 18) (dual of [(4194671, 2), 8389236, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(27107, 4194695, F27, 2, 18) (dual of [(4194695, 2), 8389283, 19]-NRT-code) | [i] | ||
| 19 | Linear OOA(27108, 4194705, F27, 2, 18) (dual of [(4194705, 2), 8389302, 19]-NRT-code) | [i] | ||
| 20 | Linear OOA(27109, 4195018, F27, 2, 18) (dual of [(4195018, 2), 8389927, 19]-NRT-code) | [i] | ||
| 21 | Linear OOA(27110, 4195058, F27, 2, 18) (dual of [(4195058, 2), 8390006, 19]-NRT-code) | [i] | ||
| 22 | Linear OOA(27109, 4195057, F27, 2, 18) (dual of [(4195057, 2), 8390005, 19]-NRT-code) | [i] | ||
| 23 | Linear OOA(27110, 4195067, F27, 2, 18) (dual of [(4195067, 2), 8390024, 19]-NRT-code) | [i] | ||
| 24 | OOA(2798, 4194383, S27, 2, 18) | [i] | ||
| 25 | OOA(27100, 4194401, S27, 2, 18) | [i] | ||
| 26 | OOA(27101, 4194417, S27, 2, 18) | [i] | ||
| 27 | OOA(27109, 4197582, S27, 2, 18) | [i] | ||
| 28 | OOA(27110, 4197584, S27, 2, 18) | [i] | ||