Information on Result #707983
Linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23
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]
- 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(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(4115, 1077, F4, 27) (dual of [1077, 962, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4114, 1071, F4, 27) (dual of [1071, 957, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4105, 1060, F4, 26) (dual of [1060, 955, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(486, 1033, F4, 23) (dual of [1033, 947, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(4123, 1084, F4, 28) (dual of [1084, 961, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(4113, 1070, F4, 27) (dual of [1070, 957, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(4103, 1053, F4, 26) (dual of [1053, 950, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(492, 1039, F4, 24) (dual of [1039, 947, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(4121, 1077, F4, 28) (dual of [1077, 956, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(4111, 1063, F4, 27) (dual of [1063, 952, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4110, 1057, F4, 27) (dual of [1057, 947, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4119, 1070, F4, 28) (dual of [1070, 951, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(4101, 1048, F4, 26) (dual of [1048, 947, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4100, 1045, F4, 26) (dual of [1045, 945, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(4108, 1055, F4, 27) (dual of [1055, 947, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(4107, 1049, F4, 27) (dual of [1049, 942, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(4116, 1062, F4, 28) (dual of [1062, 946, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(491, 1033, F4, 24) (dual of [1033, 942, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(4105, 1045, F4, 27) (dual of [1045, 940, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(4112, 1049, F4, 28) (dual of [1049, 937, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(4114, 1056, F4, 29) (dual of [1056, 942, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(4113, 1053, F4, 29) (dual of [1053, 940, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(4121, 1063, F4, 30) (dual of [1063, 942, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(4120, 1057, F4, 30) (dual of [1057, 937, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(4129, 1070, F4, 31) (dual of [1070, 941, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(4137, 1072, F4, 32) (dual of [1072, 935, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(4120, 1060, F4, 30) (dual of [1060, 940, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(4128, 1070, F4, 31) (dual of [1070, 942, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(4136, 1077, F4, 32) (dual of [1077, 941, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(4135, 1077, F4, 32) (dual of [1077, 942, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(4134, 1071, F4, 32) (dual of [1071, 937, 33]-code) | [i] | ✔ | |