Information on Result #707842
Linear OA(470, 1023, F4, 18) (dual of [1023, 953, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(470, 883, F4, 2, 18) (dual of [(883, 2), 1696, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(470, 883, F4, 3, 18) (dual of [(883, 3), 2579, 19]-NRT-code) | [i] | ||
| 3 | Digital (52, 70, 883)-net over F4 | [i] | ||
| 4 | Linear OA(478, 1041, F4, 20) (dual of [1041, 963, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(494, 1057, F4, 23) (dual of [1057, 963, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(4102, 1065, F4, 24) (dual of [1065, 963, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(483, 1036, F4, 22) (dual of [1036, 953, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(499, 1052, F4, 25) (dual of [1052, 953, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(497, 1050, F4, 24) (dual of [1050, 953, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(498, 1050, F4, 25) (dual of [1050, 952, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(496, 1046, F4, 24) (dual of [1046, 950, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(4107, 1060, F4, 26) (dual of [1060, 953, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(4115, 1065, F4, 27) (dual of [1065, 950, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4114, 1063, F4, 27) (dual of [1063, 949, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4121, 1070, F4, 28) (dual of [1070, 949, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(4138, 1087, F4, 31) (dual of [1087, 949, 32]-code) | [i] | ✔ | |