Information on Result #2244345
Linear OA(4189, 16383, F4, 36) (dual of [16383, 16194, 37]-code), using 1 times truncation based on linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(4189, 9598, F4, 2, 36) (dual of [(9598, 2), 19007, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4189, 9598, F4, 3, 36) (dual of [(9598, 3), 28605, 37]-NRT-code) | [i] | ||
| 3 | Digital (153, 189, 9598)-net over F4 | [i] | ||
| 4 | Linear OOA(4189, 8191, F4, 2, 36) (dual of [(8191, 2), 16193, 37]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4189, 5461, F4, 3, 36) (dual of [(5461, 3), 16194, 37]-NRT-code) | [i] | ||