Information on Result #707744
Linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,16}, and designed minimum distance d ≥ |I|+1 = 23
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 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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(481, 694, F4, 2, 22) (dual of [(694, 2), 1307, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(481, 694, F4, 3, 22) (dual of [(694, 3), 2001, 23]-NRT-code) | [i] | ||
| 3 | Digital (59, 81, 694)-net over F4 | [i] | ||
| 4 | Linear OA(496, 1074, F4, 22) (dual of [1074, 978, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(495, 1067, F4, 22) (dual of [1067, 972, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(494, 1067, F4, 22) (dual of [1067, 973, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(492, 1060, F4, 22) (dual of [1060, 968, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(493, 1070, F4, 22) (dual of [1070, 977, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(492, 1064, F4, 22) (dual of [1064, 972, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(491, 1063, F4, 22) (dual of [1063, 972, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(490, 1057, F4, 22) (dual of [1057, 967, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(489, 1056, F4, 22) (dual of [1056, 967, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(493, 1055, F4, 23) (dual of [1055, 962, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(492, 1049, F4, 23) (dual of [1049, 957, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(4102, 1065, F4, 24) (dual of [1065, 963, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(499, 1061, F4, 24) (dual of [1061, 962, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(498, 1055, F4, 24) (dual of [1055, 957, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(4111, 1074, F4, 26) (dual of [1074, 963, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(4110, 1067, F4, 26) (dual of [1067, 957, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(4108, 1070, F4, 26) (dual of [1070, 962, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(4107, 1064, F4, 26) (dual of [1064, 957, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(4118, 1081, F4, 27) (dual of [1081, 963, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(4115, 1077, F4, 27) (dual of [1077, 962, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(4114, 1071, F4, 27) (dual of [1071, 957, 28]-code) | [i] | ✔ | |