Information on Result #899392
Linear OOA(2552, 8388602, F25, 2, 8) (dual of [(8388602, 2), 16777152, 9]-NRT-code), using (u, u+v)-construction based on
- 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
- linear OOA(2536, 4194301, F25, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2536, 8388602, F25, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2536, large, F25, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(2536, large, F25, 8) (dual of [large, large−36, 9]-code), using
- OOA 2-folding [i] based on linear OA(2536, 8388602, F25, 8) (dual of [8388602, 8388566, 9]-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(2554, large, F25, 2, 8) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2556, large, F25, 2, 8) | [i] | ||
| 3 | Linear OOA(2558, large, F25, 2, 8) | [i] | ||
| 4 | Linear OOA(2560, large, F25, 2, 8) | [i] | ||
| 5 | Linear OOA(2562, large, F25, 2, 8) | [i] | ||
| 6 | Linear OOA(2564, large, F25, 2, 8) | [i] | ||
| 7 | Linear OOA(2566, large, F25, 2, 8) | [i] | ||
| 8 | Linear OOA(2568, large, F25, 2, 8) | [i] | ||
| 9 | Linear OOA(2570, large, F25, 2, 8) | [i] | ||
| 10 | Linear OOA(2572, large, F25, 2, 8) | [i] | ||
| 11 | Linear OOA(2574, large, F25, 2, 8) | [i] | ||
| 12 | Linear OOA(2576, large, F25, 2, 8) | [i] | ||
| 13 | Linear OOA(2578, large, F25, 2, 8) | [i] | ||
| 14 | Linear OOA(2580, large, F25, 2, 8) | [i] | ||
| 15 | Linear OOA(2582, large, F25, 2, 8) | [i] | ||
| 16 | Linear OOA(2584, large, F25, 2, 8) | [i] | ||
| 17 | Linear OOA(2586, large, F25, 2, 8) | [i] | ||
| 18 | Linear OOA(2588, large, F25, 2, 8) | [i] | ||
| 19 | Linear OOA(2590, large, F25, 2, 8) | [i] | ||
| 20 | Linear OOA(2592, large, F25, 2, 8) | [i] | ||
| 21 | Linear OOA(2594, large, F25, 2, 8) | [i] | ||
| 22 | Linear OOA(2596, large, F25, 2, 8) | [i] | ||
| 23 | Linear OOA(2598, large, F25, 2, 8) | [i] | ||
| 24 | Linear OOA(25100, large, F25, 2, 8) | [i] | ||
| 25 | Linear OOA(25102, large, F25, 2, 8) | [i] | ||
| 26 | Linear OOA(25104, large, F25, 2, 8) | [i] | ||
| 27 | Linear OOA(25106, large, F25, 2, 8) | [i] | ||
| 28 | Linear OOA(25108, large, F25, 2, 8) | [i] | ||
| 29 | Linear OOA(25110, large, F25, 2, 8) | [i] | ||
| 30 | Linear OOA(2553, 8388602, F25, 2, 8) (dual of [(8388602, 2), 16777151, 9]-NRT-code) | [i] | OOA Duplication | |
| 31 | Linear OOA(2552, 4194300, F25, 10, 8) (dual of [(4194300, 10), 41942948, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |