Information on Result #707872
Linear OA(496, 1023, F4, 26) (dual of [1023, 927, 27]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {324,325,…,349}, and designed minimum distance d ≥ |I|+1 = 27
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
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(496, 772, F4, 2, 26) (dual of [(772, 2), 1448, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(496, 772, F4, 3, 26) (dual of [(772, 3), 2220, 27]-NRT-code) | [i] | ||
| 3 | Digital (70, 96, 772)-net over F4 | [i] | ||
| 4 | Linear OA(4114, 1079, F4, 26) (dual of [1079, 965, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4113, 1077, F4, 26) (dual of [1077, 964, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(4112, 1072, F4, 26) (dual of [1072, 960, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(4111, 1070, F4, 26) (dual of [1070, 959, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(4113, 1080, F4, 26) (dual of [1080, 967, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(4122, 1072, F4, 29) (dual of [1072, 950, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(4121, 1070, F4, 29) (dual of [1070, 949, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(4129, 1079, F4, 30) (dual of [1079, 950, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(4128, 1077, F4, 30) (dual of [1077, 949, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(4119, 1066, F4, 29) (dual of [1066, 947, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(4118, 1060, F4, 29) (dual of [1060, 942, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(4136, 1086, F4, 31) (dual of [1086, 950, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(4135, 1084, F4, 31) (dual of [1084, 949, 32]-code) | [i] | ✔ | |