Information on Result #899438
Linear OOA(2567, 8388602, F25, 2, 10) (dual of [(8388602, 2), 16777137, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2521, 4194301, F25, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2521, 8388602, F25, 5) (dual of [8388602, 8388581, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- OOA 2-folding [i] based on linear OA(2521, 8388602, F25, 5) (dual of [8388602, 8388581, 6]-code), using
- linear OOA(2546, 4194301, F25, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2546, 8388602, F25, 10) (dual of [8388602, 8388556, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2546, large, F25, 10) (dual of [large, large−46, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(2546, large, F25, 10) (dual of [large, large−46, 11]-code), using
- OOA 2-folding [i] based on linear OA(2546, 8388602, F25, 10) (dual of [8388602, 8388556, 11]-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(2569, large, F25, 2, 10) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2571, large, F25, 2, 10) | [i] | ||
| 3 | Linear OOA(2573, large, F25, 2, 10) | [i] | ||
| 4 | Linear OOA(2575, large, F25, 2, 10) | [i] | ||
| 5 | Linear OOA(2577, large, F25, 2, 10) | [i] | ||
| 6 | Linear OOA(2579, large, F25, 2, 10) | [i] | ||
| 7 | Linear OOA(2581, large, F25, 2, 10) | [i] | ||
| 8 | Linear OOA(2583, large, F25, 2, 10) | [i] | ||
| 9 | Linear OOA(2585, large, F25, 2, 10) | [i] | ||
| 10 | Linear OOA(2587, large, F25, 2, 10) | [i] | ||
| 11 | Linear OOA(2589, large, F25, 2, 10) | [i] | ||
| 12 | Linear OOA(2591, large, F25, 2, 10) | [i] | ||
| 13 | Linear OOA(2593, large, F25, 2, 10) | [i] | ||
| 14 | Linear OOA(2595, large, F25, 2, 10) | [i] | ||
| 15 | Linear OOA(2597, large, F25, 2, 10) | [i] | ||
| 16 | Linear OOA(2599, large, F25, 2, 10) | [i] | ||
| 17 | Linear OOA(25101, large, F25, 2, 10) | [i] | ||
| 18 | Linear OOA(25103, large, F25, 2, 10) | [i] | ||
| 19 | Linear OOA(25105, large, F25, 2, 10) | [i] | ||
| 20 | Linear OOA(25107, large, F25, 2, 10) | [i] | ||
| 21 | Linear OOA(25109, large, F25, 2, 10) | [i] | ||
| 22 | Linear OOA(2568, 8388602, F25, 2, 10) (dual of [(8388602, 2), 16777136, 11]-NRT-code) | [i] | OOA Duplication | |
| 23 | Linear OOA(2567, 2796200, F25, 14, 10) (dual of [(2796200, 14), 39146733, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |