Information on Result #880071
Linear OOA(25640, 4194301, F256, 2, 14) (dual of [(4194301, 2), 8388562, 15]-NRT-code), using OOA 2-folding based on linear OA(25640, 8388602, F256, 14) (dual of [8388602, 8388562, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(25642, 4194302, F256, 2, 14) (dual of [(4194302, 2), 8388562, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25644, 4194303, F256, 2, 14) (dual of [(4194303, 2), 8388562, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(25646, 4194304, F256, 2, 14) (dual of [(4194304, 2), 8388562, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(25641, 4194301, F256, 2, 14) (dual of [(4194301, 2), 8388561, 15]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(1680, 8388602, F16, 2, 14) (dual of [(8388602, 2), 16777124, 15]-NRT-code) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(25647, 4194558, F256, 2, 14) (dual of [(4194558, 2), 8389069, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(25648, 4194559, F256, 2, 14) (dual of [(4194559, 2), 8389070, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(25649, 4194560, F256, 2, 14) (dual of [(4194560, 2), 8389071, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(25650, 4194815, F256, 2, 14) (dual of [(4194815, 2), 8389580, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(25651, 4194816, F256, 2, 14) (dual of [(4194816, 2), 8389581, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(25652, 4194943, F256, 2, 14) (dual of [(4194943, 2), 8389834, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(25653, 4227070, F256, 2, 14) (dual of [(4227070, 2), 8454087, 15]-NRT-code) | [i] | ||
| 13 | Linear OOA(25654, 4227072, F256, 2, 14) (dual of [(4227072, 2), 8454090, 15]-NRT-code) | [i] | ||
| 14 | Linear OOA(25655, 4227073, F256, 2, 14) (dual of [(4227073, 2), 8454091, 15]-NRT-code) | [i] | ||
| 15 | Linear OOA(25656, 4227327, F256, 2, 14) (dual of [(4227327, 2), 8454598, 15]-NRT-code) | [i] | ||
| 16 | Linear OOA(25657, 4259839, F256, 2, 14) (dual of [(4259839, 2), 8519621, 15]-NRT-code) | [i] | ||
| 17 | Linear OOA(25658, 4259843, F256, 2, 14) (dual of [(4259843, 2), 8519628, 15]-NRT-code) | [i] | ||
| 18 | Linear OOA(25659, 8388602, F256, 2, 14) (dual of [(8388602, 2), 16777145, 15]-NRT-code) | [i] | ||
| 19 | Linear OOA(25652, 4195072, F256, 2, 14) (dual of [(4195072, 2), 8390092, 15]-NRT-code) | [i] | ||
| 20 | Linear OOA(25656, 4260093, F256, 2, 14) (dual of [(4260093, 2), 8520130, 15]-NRT-code) | [i] | ||
| 21 | Linear OOA(25657, 4260094, F256, 2, 14) (dual of [(4260094, 2), 8520131, 15]-NRT-code) | [i] | ||
| 22 | Linear OOA(25658, 4260095, F256, 2, 14) (dual of [(4260095, 2), 8520132, 15]-NRT-code) | [i] | ||
| 23 | Linear OOA(25640, 4016501, F256, 3, 14) (dual of [(4016501, 3), 12049463, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 24 | Linear OOA(25640, 4016501, F256, 4, 14) (dual of [(4016501, 4), 16065964, 15]-NRT-code) | [i] | ||
| 25 | Linear OOA(25640, 4016501, F256, 5, 14) (dual of [(4016501, 5), 20082465, 15]-NRT-code) | [i] | ||
| 26 | Linear OOA(25640, 4016501, F256, 6, 14) (dual of [(4016501, 6), 24098966, 15]-NRT-code) | [i] | ||
| 27 | Digital (26, 40, 4016501)-net over F256 | [i] | ||