Information on Result #707340
Linear OA(496, 1023, F4, 26) (dual of [1023, 927, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27
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]
- 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(4166, 1092, F4, 38) (dual of [1092, 926, 39]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4167, 1094, F4, 38) (dual of [1094, 927, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(4130, 1077, F4, 31) (dual of [1077, 947, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(4129, 1071, F4, 31) (dual of [1071, 942, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(4120, 1060, F4, 30) (dual of [1060, 940, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(4101, 1033, F4, 27) (dual of [1033, 932, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(4138, 1084, F4, 32) (dual of [1084, 946, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(4128, 1070, F4, 31) (dual of [1070, 942, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(4118, 1053, F4, 30) (dual of [1053, 935, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(4107, 1039, F4, 28) (dual of [1039, 932, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(4136, 1077, F4, 32) (dual of [1077, 941, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(4126, 1063, F4, 31) (dual of [1063, 937, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(4125, 1057, F4, 31) (dual of [1057, 932, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(4134, 1070, F4, 32) (dual of [1070, 936, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(4116, 1048, F4, 30) (dual of [1048, 932, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(4115, 1045, F4, 30) (dual of [1045, 930, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(4123, 1055, F4, 31) (dual of [1055, 932, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(4122, 1049, F4, 31) (dual of [1049, 927, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(4131, 1062, F4, 32) (dual of [1062, 931, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(4106, 1033, F4, 28) (dual of [1033, 927, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(4120, 1045, F4, 31) (dual of [1045, 925, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(4127, 1049, F4, 32) (dual of [1049, 922, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(4129, 1056, F4, 33) (dual of [1056, 927, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(4128, 1053, F4, 33) (dual of [1053, 925, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(4136, 1063, F4, 34) (dual of [1063, 927, 35]-code) | [i] | ✔ | |
| 29 | Linear OA(4135, 1057, F4, 34) (dual of [1057, 922, 35]-code) | [i] | ✔ | |
| 30 | Linear OA(4144, 1070, F4, 35) (dual of [1070, 926, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(4152, 1072, F4, 36) (dual of [1072, 920, 37]-code) | [i] | ✔ | |
| 32 | Linear OA(4135, 1060, F4, 34) (dual of [1060, 925, 35]-code) | [i] | ✔ | |
| 33 | Linear OA(4143, 1070, F4, 35) (dual of [1070, 927, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(4151, 1077, F4, 36) (dual of [1077, 926, 37]-code) | [i] | ✔ | |
| 35 | Linear OA(4150, 1077, F4, 36) (dual of [1077, 927, 37]-code) | [i] | ✔ | |
| 36 | Linear OA(4149, 1071, F4, 36) (dual of [1071, 922, 37]-code) | [i] | ✔ | |