Information on Result #860846
Linear OOA(2541, 4194301, F25, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using OOA 2-folding based on linear OA(2541, 8388602, F25, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, large, F25, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
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(2543, 4194302, F25, 2, 9) (dual of [(4194302, 2), 8388561, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2542, 4194301, F25, 2, 9) (dual of [(4194301, 2), 8388560, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(582, 8388602, F5, 2, 9) (dual of [(8388602, 2), 16777122, 10]-NRT-code) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(2545, 4194327, F25, 2, 9) (dual of [(4194327, 2), 8388609, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2546, 4194328, F25, 2, 9) (dual of [(4194328, 2), 8388610, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(2547, 4194601, F25, 2, 9) (dual of [(4194601, 2), 8389155, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(2548, 4194615, F25, 2, 9) (dual of [(4194615, 2), 8389182, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(2549, 4194627, F25, 2, 9) (dual of [(4194627, 2), 8389205, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(2550, 4195277, F25, 2, 9) (dual of [(4195277, 2), 8390504, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(2551, 4202115, F25, 2, 9) (dual of [(4202115, 2), 8404179, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(2552, 4202117, F25, 2, 9) (dual of [(4202117, 2), 8404182, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(2553, 4202151, F25, 2, 9) (dual of [(4202151, 2), 8404249, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(2554, 4389615, F25, 2, 9) (dual of [(4389615, 2), 8779176, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(2555, 4389618, F25, 2, 9) (dual of [(4389618, 2), 8779181, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(2556, 4389641, F25, 2, 9) (dual of [(4389641, 2), 8779226, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(2557, 8388602, F25, 2, 9) (dual of [(8388602, 2), 16777147, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(2549, 4194951, F25, 2, 9) (dual of [(4194951, 2), 8389853, 10]-NRT-code) | [i] | ||