Information on Result #906721
Linear OOA(2523, large, F25, 2, 4), using generalized (u, u+v)-construction based on
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(250, s, F25, 2, 0) for arbitrarily large s, using
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(250, 406901, F25, 2, 0) (dual of [(406901, 2), 813802, 1]-NRT-code) (see above)
- linear OOA(251, 406901, F25, 2, 1) (dual of [(406901, 2), 813801, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(251, s, F25, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(251, s, F25, 2, 1) for arbitrarily large s, using
- linear OOA(251, 406901, F25, 2, 1) (dual of [(406901, 2), 813801, 2]-NRT-code) (see above)
- linear OOA(255, 406901, F25, 2, 2) (dual of [(406901, 2), 813797, 3]-NRT-code), using
- appending kth column [i] based on linear OA(255, 406901, F25, 2) (dual of [406901, 406896, 3]-code), using
- Hamming code H(5,25) [i]
- appending kth column [i] based on linear OA(255, 406901, F25, 2) (dual of [406901, 406896, 3]-code), using
- linear OOA(2516, 4194301, F25, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(2523, large, F25, 2, 3) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2525, large, F25, 2, 4) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2527, large, F25, 2, 4) | [i] | ||
| 4 | Linear OOA(2529, large, F25, 2, 4) | [i] | ||
| 5 | Linear OOA(2531, large, F25, 2, 4) | [i] | ||
| 6 | Linear OOA(2533, large, F25, 2, 4) | [i] | ||
| 7 | Linear OOA(2535, large, F25, 2, 4) | [i] | ||
| 8 | Linear OOA(2537, large, F25, 2, 4) | [i] | ||
| 9 | Linear OOA(2539, large, F25, 2, 4) | [i] | ||
| 10 | Linear OOA(2541, large, F25, 2, 4) | [i] | ||
| 11 | Linear OOA(2543, large, F25, 2, 4) | [i] | ||
| 12 | Linear OOA(2545, large, F25, 2, 4) | [i] | ||
| 13 | Linear OOA(2547, large, F25, 2, 4) | [i] | ||
| 14 | Linear OOA(2549, large, F25, 2, 4) | [i] | ||
| 15 | Linear OOA(2551, large, F25, 2, 4) | [i] | ||
| 16 | Linear OOA(2553, large, F25, 2, 4) | [i] | ||
| 17 | Linear OOA(2555, large, F25, 2, 4) | [i] | ||
| 18 | Linear OOA(2557, large, F25, 2, 4) | [i] | ||
| 19 | Linear OOA(2559, large, F25, 2, 4) | [i] | ||
| 20 | Linear OOA(2561, large, F25, 2, 4) | [i] | ||
| 21 | Linear OOA(2563, large, F25, 2, 4) | [i] | ||
| 22 | Linear OOA(2565, large, F25, 2, 4) | [i] | ||
| 23 | Linear OOA(2567, large, F25, 2, 4) | [i] | ||
| 24 | Linear OOA(2569, large, F25, 2, 4) | [i] | ||
| 25 | Linear OOA(2571, large, F25, 2, 4) | [i] | ||
| 26 | Linear OOA(2573, large, F25, 2, 4) | [i] | ||
| 27 | Linear OOA(2575, large, F25, 2, 4) | [i] | ||
| 28 | Linear OOA(2577, large, F25, 2, 4) | [i] | ||
| 29 | Linear OOA(2579, large, F25, 2, 4) | [i] | ||
| 30 | Linear OOA(2581, large, F25, 2, 4) | [i] | ||
| 31 | Linear OOA(2583, large, F25, 2, 4) | [i] | ||
| 32 | Linear OOA(2585, large, F25, 2, 4) | [i] | ||
| 33 | Linear OOA(2587, large, F25, 2, 4) | [i] | ||
| 34 | Linear OOA(2589, large, F25, 2, 4) | [i] | ||
| 35 | Linear OOA(2591, large, F25, 2, 4) | [i] | ||
| 36 | Linear OOA(2593, large, F25, 2, 4) | [i] | ||
| 37 | Linear OOA(2595, large, F25, 2, 4) | [i] | ||
| 38 | Linear OOA(2597, large, F25, 2, 4) | [i] | ||
| 39 | Linear OOA(2599, large, F25, 2, 4) | [i] | ||
| 40 | Linear OOA(25101, large, F25, 2, 4) | [i] | ||
| 41 | Linear OOA(25103, large, F25, 2, 4) | [i] | ||
| 42 | Linear OOA(25105, large, F25, 2, 4) | [i] | ||
| 43 | Linear OOA(25107, large, F25, 2, 4) | [i] | ||
| 44 | Linear OOA(25109, large, F25, 2, 4) | [i] | ||
| 45 | Linear OOA(2524, large, F25, 2, 4) | [i] | OOA Duplication | |
| 46 | Linear OOA(2523, 8388602, F25, 6, 4) (dual of [(8388602, 6), 50331589, 5]-NRT-code) | [i] | OOA Stacking with Additional Row | |