Information on Result #880090
Linear OOA(25643, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using OOA 2-folding based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(25645, 4194302, F256, 2, 15) (dual of [(4194302, 2), 8388559, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25647, 4194303, F256, 2, 15) (dual of [(4194303, 2), 8388559, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(25649, 4194304, F256, 2, 15) (dual of [(4194304, 2), 8388559, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(25644, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388558, 16]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(1686, 8388602, F16, 2, 15) (dual of [(8388602, 2), 16777118, 16]-NRT-code) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(25650, 4194558, F256, 2, 15) (dual of [(4194558, 2), 8389066, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(25651, 4194559, F256, 2, 15) (dual of [(4194559, 2), 8389067, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(25652, 4194560, F256, 2, 15) (dual of [(4194560, 2), 8389068, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(25653, 4194815, F256, 2, 15) (dual of [(4194815, 2), 8389577, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(25654, 4194816, F256, 2, 15) (dual of [(4194816, 2), 8389578, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(25655, 4194943, F256, 2, 15) (dual of [(4194943, 2), 8389831, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(25656, 4227070, F256, 2, 15) (dual of [(4227070, 2), 8454084, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(25657, 4227072, F256, 2, 15) (dual of [(4227072, 2), 8454087, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(25658, 4227073, F256, 2, 15) (dual of [(4227073, 2), 8454088, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(25659, 4227327, F256, 2, 15) (dual of [(4227327, 2), 8454595, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(25660, 4259839, F256, 2, 15) (dual of [(4259839, 2), 8519618, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(25661, 4259843, F256, 2, 15) (dual of [(4259843, 2), 8519625, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(25662, 8388602, F256, 2, 15) (dual of [(8388602, 2), 16777142, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(25655, 4195072, F256, 2, 15) (dual of [(4195072, 2), 8390089, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(25659, 4260093, F256, 2, 15) (dual of [(4260093, 2), 8520127, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(25660, 4260094, F256, 2, 15) (dual of [(4260094, 2), 8520128, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(25661, 4260095, F256, 2, 15) (dual of [(4260095, 2), 8520129, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(25643, 3507307, F256, 3, 15) (dual of [(3507307, 3), 10521878, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 24 | Linear OOA(25643, 3507307, F256, 4, 15) (dual of [(3507307, 4), 14029185, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(25643, 3507307, F256, 5, 15) (dual of [(3507307, 5), 17536492, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(25643, 3507307, F256, 6, 15) (dual of [(3507307, 6), 21043799, 16]-NRT-code) | [i] | ||
| 27 | Digital (28, 43, 3507307)-net over F256 | [i] | ||