Information on Result #1071557
Linear OOA(25631, 16384, F256, 4, 16) (dual of [(16384, 4), 65505, 17]-NRT-code), using OOA 4-folding based on linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(25639, 16641, F256, 4, 16) (dual of [(16641, 4), 66525, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25640, 16642, F256, 4, 16) (dual of [(16642, 4), 66528, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(25641, 16643, F256, 4, 16) (dual of [(16643, 4), 66531, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(25642, 16644, F256, 4, 16) (dual of [(16644, 4), 66534, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(25643, 16898, F256, 4, 16) (dual of [(16898, 4), 67549, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(25644, 16899, F256, 4, 16) (dual of [(16899, 4), 67552, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(25645, 16900, F256, 4, 16) (dual of [(16900, 4), 67555, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(25645, 17155, F256, 4, 16) (dual of [(17155, 4), 68575, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(25631, 15685, F256, 5, 16) (dual of [(15685, 5), 78394, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 10 | Linear OOA(25631, 15685, F256, 6, 16) (dual of [(15685, 6), 94079, 17]-NRT-code) | [i] | ||
| 11 | Digital (15, 31, 15685)-net over F256 | [i] | ||