Information on Result #893916
Linear OOA(562, 8388602, F5, 2, 7) (dual of [(8388602, 2), 16777142, 8]-NRT-code), using trace code based on linear OOA(2531, 4194301, F25, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2531, 8388602, F25, 7) (dual of [8388602, 8388571, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
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(564, large, F5, 2, 7) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(566, large, F5, 2, 7) | [i] | ||
| 3 | Linear OOA(568, large, F5, 2, 7) | [i] | ||
| 4 | Linear OOA(570, large, F5, 2, 7) | [i] | ||
| 5 | Linear OOA(572, large, F5, 2, 7) | [i] | ||
| 6 | Linear OOA(574, large, F5, 2, 7) | [i] | ||
| 7 | Linear OOA(576, large, F5, 2, 7) | [i] | ||
| 8 | Linear OOA(578, large, F5, 2, 7) | [i] | ||
| 9 | Linear OOA(580, large, F5, 2, 7) | [i] | ||
| 10 | Linear OOA(582, large, F5, 2, 7) | [i] | ||
| 11 | Linear OOA(584, large, F5, 2, 7) | [i] | ||
| 12 | Linear OOA(586, large, F5, 2, 7) | [i] | ||
| 13 | Linear OOA(588, large, F5, 2, 7) | [i] | ||
| 14 | Linear OOA(590, large, F5, 2, 7) | [i] | ||
| 15 | Linear OOA(592, large, F5, 2, 7) | [i] | ||
| 16 | Linear OOA(594, large, F5, 2, 7) | [i] | ||
| 17 | Linear OOA(596, large, F5, 2, 7) | [i] | ||
| 18 | Linear OOA(598, large, F5, 2, 7) | [i] | ||
| 19 | Linear OOA(5100, large, F5, 2, 7) | [i] | ||
| 20 | Linear OOA(5102, large, F5, 2, 7) | [i] | ||
| 21 | Linear OOA(5104, large, F5, 2, 7) | [i] | ||
| 22 | Linear OOA(5106, large, F5, 2, 7) | [i] | ||
| 23 | Linear OOA(5108, large, F5, 2, 7) | [i] | ||
| 24 | Linear OOA(5110, large, F5, 2, 7) | [i] | ||
| 25 | Linear OOA(5112, large, F5, 2, 7) | [i] | ||
| 26 | Linear OOA(5114, large, F5, 2, 7) | [i] | ||
| 27 | Linear OOA(5116, large, F5, 2, 7) | [i] | ||
| 28 | Linear OOA(5118, large, F5, 2, 7) | [i] | ||
| 29 | Linear OOA(5120, large, F5, 2, 7) | [i] | ||
| 30 | Linear OOA(5122, large, F5, 2, 7) | [i] | ||
| 31 | Linear OOA(5124, large, F5, 2, 7) | [i] | ||
| 32 | Linear OOA(5126, large, F5, 2, 7) | [i] | ||
| 33 | Linear OOA(5128, large, F5, 2, 7) | [i] | ||
| 34 | Linear OOA(5130, large, F5, 2, 7) | [i] | ||
| 35 | Linear OOA(5132, large, F5, 2, 7) | [i] | ||
| 36 | Linear OOA(5134, large, F5, 2, 7) | [i] | ||
| 37 | Linear OOA(5136, large, F5, 2, 7) | [i] | ||
| 38 | Linear OOA(5138, large, F5, 2, 7) | [i] | ||
| 39 | Linear OOA(5140, large, F5, 2, 7) | [i] | ||
| 40 | Linear OOA(5142, large, F5, 2, 7) | [i] | ||
| 41 | Linear OOA(5144, large, F5, 2, 7) | [i] | ||
| 42 | Linear OOA(5146, large, F5, 2, 7) | [i] | ||
| 43 | Linear OOA(5148, large, F5, 2, 7) | [i] | ||
| 44 | Linear OOA(5150, large, F5, 2, 7) | [i] | ||
| 45 | Linear OOA(563, 8388602, F5, 2, 7) (dual of [(8388602, 2), 16777141, 8]-NRT-code) | [i] | OOA Duplication | |
| 46 | Linear OOA(562, 4194301, F5, 3, 7) (dual of [(4194301, 3), 12582841, 8]-NRT-code) | [i] | OOA Folding | |
| 47 | Linear OOA(562, 4194300, F5, 10, 7) (dual of [(4194300, 10), 41942938, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |