Information on Result #1070403
Linear OOA(12833, 4096, F128, 4, 17) (dual of [(4096, 4), 16351, 18]-NRT-code), using OOA 4-folding based on linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, 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(12841, 4225, F128, 4, 17) (dual of [(4225, 4), 16859, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12842, 4246, F128, 4, 17) (dual of [(4246, 4), 16942, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(12844, 4288, F128, 4, 17) (dual of [(4288, 4), 17108, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(12845, 4354, F128, 4, 17) (dual of [(4354, 4), 17371, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(12846, 4375, F128, 4, 17) (dual of [(4375, 4), 17454, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(12847, 4396, F128, 4, 17) (dual of [(4396, 4), 17537, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(12847, 4483, F128, 4, 17) (dual of [(4483, 4), 17885, 18]-NRT-code) | [i] | ||
| 8 | Digital (16, 33, 4096)-net over F128 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |