Information on Result #708394
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 = {305,306,…,340}, 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(4155, 1066, F4, 38) (dual of [1066, 911, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(4154, 1064, F4, 38) (dual of [1064, 910, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(4162, 1073, F4, 39) (dual of [1073, 911, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(4147, 1050, F4, 38) (dual of [1050, 903, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(4171, 1082, F4, 41) (dual of [1082, 911, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(4179, 1090, F4, 42) (dual of [1090, 911, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(4162, 1050, F4, 42) (dual of [1050, 888, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(4176, 1064, F4, 44) (dual of [1064, 888, 45]-code) | [i] | ✔ | |
| 15 | Linear OOA(4135, 511, F4, 2, 36) (dual of [(511, 2), 887, 37]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(4135, 341, F4, 3, 36) (dual of [(341, 3), 888, 37]-NRT-code) | [i] | ||