Information on Result #1071586
Linear OOA(25633, 16384, F256, 4, 17) (dual of [(16384, 4), 65503, 18]-NRT-code), using OOA 4-folding based on linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(25641, 16641, F256, 4, 17) (dual of [(16641, 4), 66523, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25642, 16642, F256, 4, 17) (dual of [(16642, 4), 66526, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(25643, 16643, F256, 4, 17) (dual of [(16643, 4), 66529, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(25644, 16644, F256, 4, 17) (dual of [(16644, 4), 66532, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(25645, 16898, F256, 4, 17) (dual of [(16898, 4), 67547, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(25646, 16899, F256, 4, 17) (dual of [(16899, 4), 67550, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(25647, 16900, F256, 4, 17) (dual of [(16900, 4), 67553, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(25647, 17155, F256, 4, 17) (dual of [(17155, 4), 68573, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(25633, 13695, F256, 5, 17) (dual of [(13695, 5), 68442, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 10 | Linear OOA(25633, 13695, F256, 6, 17) (dual of [(13695, 6), 82137, 18]-NRT-code) | [i] | ||
| 11 | Digital (16, 33, 13695)-net over F256 | [i] | ||