Information on Result #707822
Linear OA(466, 1023, F4, 18) (dual of [1023, 957, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,17], 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]
- 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(466, 621, F4, 2, 18) (dual of [(621, 2), 1176, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(466, 621, F4, 3, 18) (dual of [(621, 3), 1797, 19]-NRT-code) | [i] | ||
| 3 | Digital (48, 66, 621)-net over F4 | [i] | ||
| 4 | Linear OA(4100, 1077, F4, 23) (dual of [1077, 977, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(499, 1071, F4, 23) (dual of [1071, 972, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(490, 1060, F4, 22) (dual of [1060, 970, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(471, 1033, F4, 19) (dual of [1033, 962, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(498, 1070, F4, 23) (dual of [1070, 972, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(488, 1053, F4, 22) (dual of [1053, 965, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(477, 1039, F4, 20) (dual of [1039, 962, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(4106, 1077, F4, 24) (dual of [1077, 971, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(496, 1063, F4, 23) (dual of [1063, 967, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(495, 1057, F4, 23) (dual of [1057, 962, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(4104, 1070, F4, 24) (dual of [1070, 966, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(486, 1048, F4, 22) (dual of [1048, 962, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(485, 1045, F4, 22) (dual of [1045, 960, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(493, 1055, F4, 23) (dual of [1055, 962, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(492, 1049, F4, 23) (dual of [1049, 957, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(4101, 1062, F4, 24) (dual of [1062, 961, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(476, 1033, F4, 20) (dual of [1033, 957, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(490, 1045, F4, 23) (dual of [1045, 955, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(497, 1049, F4, 24) (dual of [1049, 952, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(499, 1056, F4, 25) (dual of [1056, 957, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(498, 1053, F4, 25) (dual of [1053, 955, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(4106, 1063, F4, 26) (dual of [1063, 957, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(4105, 1057, F4, 26) (dual of [1057, 952, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(4114, 1070, F4, 27) (dual of [1070, 956, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(4122, 1072, F4, 28) (dual of [1072, 950, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(4105, 1060, F4, 26) (dual of [1060, 955, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(4113, 1070, F4, 27) (dual of [1070, 957, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(4121, 1077, F4, 28) (dual of [1077, 956, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(4120, 1077, F4, 28) (dual of [1077, 957, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(4119, 1071, F4, 28) (dual of [1071, 952, 29]-code) | [i] | ✔ | |