Information on Result #880111
Linear OOA(25646, 4194301, F256, 2, 16) (dual of [(4194301, 2), 8388556, 17]-NRT-code), using OOA 2-folding based on linear OA(25646, 8388602, F256, 16) (dual of [8388602, 8388556, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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(25648, 4194302, F256, 2, 16) (dual of [(4194302, 2), 8388556, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25650, 4194303, F256, 2, 16) (dual of [(4194303, 2), 8388556, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(25652, 4194304, F256, 2, 16) (dual of [(4194304, 2), 8388556, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(25647, 4194301, F256, 2, 16) (dual of [(4194301, 2), 8388555, 17]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(1692, 8388602, F16, 2, 16) (dual of [(8388602, 2), 16777112, 17]-NRT-code) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(25654, 4194558, F256, 2, 16) (dual of [(4194558, 2), 8389062, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(25655, 4194559, F256, 2, 16) (dual of [(4194559, 2), 8389063, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(25656, 4194560, F256, 2, 16) (dual of [(4194560, 2), 8389064, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(25657, 4194561, F256, 2, 16) (dual of [(4194561, 2), 8389065, 17]-NRT-code) | [i] | ||
| 10 | Linear OOA(25658, 4194815, F256, 2, 16) (dual of [(4194815, 2), 8389572, 17]-NRT-code) | [i] | ||
| 11 | Linear OOA(25659, 4194816, F256, 2, 16) (dual of [(4194816, 2), 8389573, 17]-NRT-code) | [i] | ||
| 12 | Linear OOA(25660, 4194943, F256, 2, 16) (dual of [(4194943, 2), 8389826, 17]-NRT-code) | [i] | ||
| 13 | Linear OOA(25661, 4227070, F256, 2, 16) (dual of [(4227070, 2), 8454079, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(25662, 4227071, F256, 2, 16) (dual of [(4227071, 2), 8454080, 17]-NRT-code) | [i] | ||
| 15 | Linear OOA(25663, 4227073, F256, 2, 16) (dual of [(4227073, 2), 8454083, 17]-NRT-code) | [i] | ||
| 16 | Linear OOA(25664, 4227074, F256, 2, 16) (dual of [(4227074, 2), 8454084, 17]-NRT-code) | [i] | ||
| 17 | Linear OOA(25665, 4227327, F256, 2, 16) (dual of [(4227327, 2), 8454589, 17]-NRT-code) | [i] | ||
| 18 | Linear OOA(25666, 4227328, F256, 2, 16) (dual of [(4227328, 2), 8454590, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(25667, 4259710, F256, 2, 16) (dual of [(4259710, 2), 8519353, 17]-NRT-code) | [i] | ||
| 20 | Linear OOA(25668, 8388602, F256, 2, 16) (dual of [(8388602, 2), 16777136, 17]-NRT-code) | [i] | ||
| 21 | Linear OOA(25660, 4195072, F256, 2, 16) (dual of [(4195072, 2), 8390084, 17]-NRT-code) | [i] | ||
| 22 | Linear OOA(25666, 4260093, F256, 2, 16) (dual of [(4260093, 2), 8520120, 17]-NRT-code) | [i] | ||
| 23 | Linear OOA(25667, 4260094, F256, 2, 16) (dual of [(4260094, 2), 8520121, 17]-NRT-code) | [i] | ||
| 24 | Linear OOA(25646, 3146526, F256, 3, 16) (dual of [(3146526, 3), 9439532, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 25 | Linear OOA(25646, 3146526, F256, 4, 16) (dual of [(3146526, 4), 12586058, 17]-NRT-code) | [i] | ||
| 26 | Linear OOA(25646, 3146526, F256, 5, 16) (dual of [(3146526, 5), 15732584, 17]-NRT-code) | [i] | ||
| 27 | Linear OOA(25646, 3146526, F256, 6, 16) (dual of [(3146526, 6), 18879110, 17]-NRT-code) | [i] | ||
| 28 | Digital (30, 46, 3146526)-net over F256 | [i] | ||