Information on Result #707776
Linear OA(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {320,321,…,342}, and designed minimum distance d ≥ |I|+1 = 24
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(486, 776, F4, 2, 23) (dual of [(776, 2), 1466, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(486, 776, F4, 3, 23) (dual of [(776, 3), 2242, 24]-NRT-code) | [i] | ||
| 3 | Digital (63, 86, 776)-net over F4 | [i] | ||
| 4 | Linear OA(4100, 1066, F4, 23) (dual of [1066, 966, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(499, 1064, F4, 23) (dual of [1064, 965, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(498, 1062, F4, 23) (dual of [1062, 964, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(489, 1041, F4, 23) (dual of [1041, 952, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(499, 1041, F4, 26) (dual of [1041, 942, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(498, 1033, F4, 26) (dual of [1033, 935, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(4131, 1086, F4, 30) (dual of [1086, 955, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(4130, 1084, F4, 30) (dual of [1084, 954, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(4129, 1079, F4, 30) (dual of [1079, 950, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(4128, 1077, F4, 30) (dual of [1077, 949, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(4127, 1072, F4, 30) (dual of [1072, 945, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(4126, 1070, F4, 30) (dual of [1070, 944, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(4125, 1066, F4, 30) (dual of [1066, 941, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(4124, 1064, F4, 30) (dual of [1064, 940, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(4123, 1062, F4, 30) (dual of [1062, 939, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(4137, 1072, F4, 33) (dual of [1072, 935, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(4136, 1070, F4, 33) (dual of [1070, 934, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(4144, 1079, F4, 34) (dual of [1079, 935, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(4143, 1077, F4, 34) (dual of [1077, 934, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(4151, 1086, F4, 35) (dual of [1086, 935, 36]-code) | [i] | ✔ | |