Information on Result #880207
Linear OOA(25658, 4194301, F256, 2, 20) (dual of [(4194301, 2), 8388544, 21]-NRT-code), using OOA 2-folding based on linear OA(25658, 8388602, F256, 20) (dual of [8388602, 8388544, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(25658, large, F256, 20) (dual of [large, large−58, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(25660, 4194302, F256, 2, 20) (dual of [(4194302, 2), 8388544, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25662, 4194303, F256, 2, 20) (dual of [(4194303, 2), 8388544, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(25664, 4194304, F256, 2, 20) (dual of [(4194304, 2), 8388544, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(25666, 4194305, F256, 2, 20) (dual of [(4194305, 2), 8388544, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(25659, 4194301, F256, 2, 20) (dual of [(4194301, 2), 8388543, 21]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(16116, 8388602, F16, 2, 20) (dual of [(8388602, 2), 16777088, 21]-NRT-code) | [i] | Trace Code for OOAs | |
| 7 | Linear OOA(25668, 4194558, F256, 2, 20) (dual of [(4194558, 2), 8389048, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |