Information on Result #860817
Linear OOA(2536, 4194301, F25, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using OOA 2-folding 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]
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(2538, 4194302, F25, 2, 8) (dual of [(4194302, 2), 8388566, 9]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2537, 4194301, F25, 2, 8) (dual of [(4194301, 2), 8388565, 9]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(572, 8388602, F5, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(2540, 4194327, F25, 2, 8) (dual of [(4194327, 2), 8388614, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2541, 4194328, F25, 2, 8) (dual of [(4194328, 2), 8388615, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(2542, 4194601, F25, 2, 8) (dual of [(4194601, 2), 8389160, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(2543, 4194615, F25, 2, 8) (dual of [(4194615, 2), 8389187, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(2544, 4194627, F25, 2, 8) (dual of [(4194627, 2), 8389210, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(2545, 4195277, F25, 2, 8) (dual of [(4195277, 2), 8390509, 9]-NRT-code) | [i] | ||
| 10 | Linear OOA(2546, 4202115, F25, 2, 8) (dual of [(4202115, 2), 8404184, 9]-NRT-code) | [i] | ||
| 11 | Linear OOA(2547, 4202117, F25, 2, 8) (dual of [(4202117, 2), 8404187, 9]-NRT-code) | [i] | ||
| 12 | Linear OOA(2548, 4202151, F25, 2, 8) (dual of [(4202151, 2), 8404254, 9]-NRT-code) | [i] | ||
| 13 | Linear OOA(2549, 4389615, F25, 2, 8) (dual of [(4389615, 2), 8779181, 9]-NRT-code) | [i] | ||
| 14 | Linear OOA(2550, 4389618, F25, 2, 8) (dual of [(4389618, 2), 8779186, 9]-NRT-code) | [i] | ||
| 15 | Linear OOA(2551, 4389641, F25, 2, 8) (dual of [(4389641, 2), 8779231, 9]-NRT-code) | [i] | ||
| 16 | Linear OOA(2552, 8388602, F25, 2, 8) (dual of [(8388602, 2), 16777152, 9]-NRT-code) | [i] | ||
| 17 | Linear OOA(2544, 4194951, F25, 2, 8) (dual of [(4194951, 2), 8389858, 9]-NRT-code) | [i] | ||