Information on Result #708901
Linear OA(4135, 1023, F4, 36) (dual of [1023, 888, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,377}, and designed minimum distance d ≥ |I|+1 = 37
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4135, 1023, F4, 2, 36) (dual of [(1023, 2), 1911, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4135, 1023, F4, 3, 36) (dual of [(1023, 3), 2934, 37]-NRT-code) | [i] | ||
| 3 | Digital (99, 135, 1023)-net over F4 | [i] | ||
| 4 | Linear OA(4136, 1043, F4, 36) (dual of [1043, 907, 37]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(4137, 1075, F4, 36) (dual of [1075, 938, 37]-code) | [i] | ||
| 6 | Linear OA(4138, 1115, F4, 36) (dual of [1115, 977, 37]-code) | [i] | ||
| 7 | Linear OA(4201, 1088, F4, 48) (dual of [1088, 887, 49]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OOA(4135, 511, F4, 2, 36) (dual of [(511, 2), 887, 37]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(4135, 341, F4, 3, 36) (dual of [(341, 3), 888, 37]-NRT-code) | [i] | ||