Information on Result #879994
Linear OOA(25625, 4194301, F256, 2, 9) (dual of [(4194301, 2), 8388577, 10]-NRT-code), using OOA 2-folding based on linear OA(25625, 8388602, F256, 9) (dual of [8388602, 8388577, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [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(25627, 4194302, F256, 2, 9) (dual of [(4194302, 2), 8388577, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25626, 4194301, F256, 2, 9) (dual of [(4194301, 2), 8388576, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(1650, 8388602, F16, 2, 9) (dual of [(8388602, 2), 16777154, 10]-NRT-code) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(25629, 4194558, F256, 2, 9) (dual of [(4194558, 2), 8389087, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(25630, 4194559, F256, 2, 9) (dual of [(4194559, 2), 8389088, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(25631, 4226941, F256, 2, 9) (dual of [(4226941, 2), 8453851, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(25632, 4227070, F256, 2, 9) (dual of [(4227070, 2), 8454108, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(25633, 4227198, F256, 2, 9) (dual of [(4227198, 2), 8454363, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(25634, 4259581, F256, 2, 9) (dual of [(4259581, 2), 8519128, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(25635, 8388602, F256, 2, 9) (dual of [(8388602, 2), 16777169, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(25633, 4260093, F256, 2, 9) (dual of [(4260093, 2), 8520153, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(25634, 4260094, F256, 2, 9) (dual of [(4260094, 2), 8520154, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(25625, 4194301, F256, 3, 9) (dual of [(4194301, 3), 12582878, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 14 | Linear OOA(25625, 4194301, F256, 4, 9) (dual of [(4194301, 4), 16777179, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(25625, 4194301, F256, 5, 9) (dual of [(4194301, 5), 20971480, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(25625, 4194301, F256, 6, 9) (dual of [(4194301, 6), 25165781, 10]-NRT-code) | [i] | ||
| 17 | Digital (16, 25, 4194301)-net over F256 | [i] | ||