Information on Result #899356
Linear OOA(2535, 8388602, F25, 2, 6) (dual of [(8388602, 2), 16777169, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(259, large, F25, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(259, large, F25, 3) (dual of [large, large−9, 4]-code), using
- linear OOA(2526, 4194301, F25, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-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(2537, large, F25, 2, 6) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2539, large, F25, 2, 6) | [i] | ||
| 3 | Linear OOA(2541, large, F25, 2, 6) | [i] | ||
| 4 | Linear OOA(2543, large, F25, 2, 6) | [i] | ||
| 5 | Linear OOA(2545, large, F25, 2, 6) | [i] | ||
| 6 | Linear OOA(2547, large, F25, 2, 6) | [i] | ||
| 7 | Linear OOA(2549, large, F25, 2, 6) | [i] | ||
| 8 | Linear OOA(2551, large, F25, 2, 6) | [i] | ||
| 9 | Linear OOA(2553, large, F25, 2, 6) | [i] | ||
| 10 | Linear OOA(2555, large, F25, 2, 6) | [i] | ||
| 11 | Linear OOA(2557, large, F25, 2, 6) | [i] | ||
| 12 | Linear OOA(2559, large, F25, 2, 6) | [i] | ||
| 13 | Linear OOA(2561, large, F25, 2, 6) | [i] | ||
| 14 | Linear OOA(2563, large, F25, 2, 6) | [i] | ||
| 15 | Linear OOA(2565, large, F25, 2, 6) | [i] | ||
| 16 | Linear OOA(2567, large, F25, 2, 6) | [i] | ||
| 17 | Linear OOA(2569, large, F25, 2, 6) | [i] | ||
| 18 | Linear OOA(2571, large, F25, 2, 6) | [i] | ||
| 19 | Linear OOA(2573, large, F25, 2, 6) | [i] | ||
| 20 | Linear OOA(2575, large, F25, 2, 6) | [i] | ||
| 21 | Linear OOA(2577, large, F25, 2, 6) | [i] | ||
| 22 | Linear OOA(2579, large, F25, 2, 6) | [i] | ||
| 23 | Linear OOA(2581, large, F25, 2, 6) | [i] | ||
| 24 | Linear OOA(2583, large, F25, 2, 6) | [i] | ||
| 25 | Linear OOA(2585, large, F25, 2, 6) | [i] | ||
| 26 | Linear OOA(2587, large, F25, 2, 6) | [i] | ||
| 27 | Linear OOA(2589, large, F25, 2, 6) | [i] | ||
| 28 | Linear OOA(2591, large, F25, 2, 6) | [i] | ||
| 29 | Linear OOA(2593, large, F25, 2, 6) | [i] | ||
| 30 | Linear OOA(2595, large, F25, 2, 6) | [i] | ||
| 31 | Linear OOA(2597, large, F25, 2, 6) | [i] | ||
| 32 | Linear OOA(2599, large, F25, 2, 6) | [i] | ||
| 33 | Linear OOA(25101, large, F25, 2, 6) | [i] | ||
| 34 | Linear OOA(25103, large, F25, 2, 6) | [i] | ||
| 35 | Linear OOA(25105, large, F25, 2, 6) | [i] | ||
| 36 | Linear OOA(25107, large, F25, 2, 6) | [i] | ||
| 37 | Linear OOA(25109, large, F25, 2, 6) | [i] | ||
| 38 | Linear OOA(2536, 8388602, F25, 2, 6) (dual of [(8388602, 2), 16777168, 7]-NRT-code) | [i] | OOA Duplication | |
| 39 | Linear OOA(2535, 4194300, F25, 10, 6) (dual of [(4194300, 10), 41942965, 7]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |