Information on Result #707878
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 = {317,318,…,342}, 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(4110, 1066, F4, 26) (dual of [1066, 956, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4109, 1064, F4, 26) (dual of [1064, 955, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(4108, 1062, F4, 26) (dual of [1062, 954, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(4106, 1058, F4, 26) (dual of [1058, 952, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(4102, 1050, F4, 26) (dual of [1050, 948, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(499, 1041, F4, 26) (dual of [1041, 942, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(498, 1033, F4, 26) (dual of [1033, 935, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(497, 1034, F4, 26) (dual of [1034, 937, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(4110, 1042, F4, 29) (dual of [1042, 932, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(4144, 1089, F4, 33) (dual of [1089, 945, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(4143, 1087, F4, 33) (dual of [1087, 944, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(4117, 1050, F4, 30) (dual of [1050, 933, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(4139, 1079, F4, 33) (dual of [1079, 940, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(4138, 1077, F4, 33) (dual of [1077, 939, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(4137, 1072, F4, 33) (dual of [1072, 935, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(4136, 1070, F4, 33) (dual of [1070, 934, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(4135, 1065, F4, 33) (dual of [1065, 930, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(4134, 1063, F4, 33) (dual of [1063, 929, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(4120, 1047, F4, 31) (dual of [1047, 927, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(4119, 1039, F4, 31) (dual of [1039, 920, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(4127, 1054, F4, 32) (dual of [1054, 927, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(4126, 1051, F4, 32) (dual of [1051, 925, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(4145, 1070, F4, 35) (dual of [1070, 925, 36]-code) | [i] | ✔ | |
| 27 | Linear OA(4144, 1068, F4, 35) (dual of [1068, 924, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(4154, 1079, F4, 37) (dual of [1079, 925, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(4153, 1077, F4, 37) (dual of [1077, 924, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(4161, 1086, F4, 38) (dual of [1086, 925, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(4160, 1084, F4, 38) (dual of [1084, 924, 39]-code) | [i] | ✔ | |