Information on Result #708134
Linear OA(495, 1023, F4, 25) (dual of [1023, 928, 26]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(495, 890, F4, 2, 25) (dual of [(890, 2), 1685, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(495, 890, F4, 3, 25) (dual of [(890, 3), 2575, 26]-NRT-code) | [i] | ||
| 3 | Digital (70, 95, 890)-net over F4 | [i] | ||
| 4 | Linear OA(4125, 1073, F4, 30) (dual of [1073, 948, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4133, 1081, F4, 31) (dual of [1081, 948, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(4141, 1086, F4, 32) (dual of [1086, 945, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(4140, 1084, F4, 32) (dual of [1084, 944, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(4138, 1077, F4, 32) (dual of [1077, 939, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(4117, 1049, F4, 30) (dual of [1049, 932, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(4133, 1062, F4, 32) (dual of [1062, 929, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(4131, 1059, F4, 33) (dual of [1059, 928, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(4130, 1057, F4, 33) (dual of [1057, 927, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(4139, 1067, F4, 34) (dual of [1067, 928, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(4147, 1072, F4, 35) (dual of [1072, 925, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(4146, 1070, F4, 35) (dual of [1070, 924, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(4153, 1077, F4, 36) (dual of [1077, 924, 37]-code) | [i] | ✔ | |