Information on Result #707540
Linear OA(431, 1023, F4, 9) (dual of [1023, 992, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(453, 1058, F4, 12) (dual of [1058, 1005, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(443, 1040, F4, 11) (dual of [1040, 997, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(454, 1056, F4, 13) (dual of [1056, 1002, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(453, 1053, F4, 13) (dual of [1053, 1000, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(460, 1057, F4, 14) (dual of [1057, 997, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(452, 1049, F4, 13) (dual of [1049, 997, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(450, 1047, F4, 12) (dual of [1047, 997, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(451, 1046, F4, 13) (dual of [1046, 995, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(459, 1056, F4, 14) (dual of [1056, 997, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(441, 1033, F4, 11) (dual of [1033, 992, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(447, 1039, F4, 12) (dual of [1039, 992, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(456, 1048, F4, 14) (dual of [1048, 992, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(455, 1045, F4, 14) (dual of [1045, 990, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(463, 1055, F4, 15) (dual of [1055, 992, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(462, 1049, F4, 15) (dual of [1049, 987, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(471, 1062, F4, 16) (dual of [1062, 991, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(462, 1054, F4, 15) (dual of [1054, 992, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(461, 1051, F4, 15) (dual of [1051, 990, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(469, 1061, F4, 16) (dual of [1061, 992, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(468, 1055, F4, 16) (dual of [1055, 987, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(471, 1063, F4, 17) (dual of [1063, 992, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(470, 1060, F4, 17) (dual of [1060, 990, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(468, 1058, F4, 16) (dual of [1058, 990, 17]-code) | [i] | ✔ | |
| 24 | Linear OA(478, 1070, F4, 18) (dual of [1070, 992, 19]-code) | [i] | ✔ | |
| 25 | Linear OA(477, 1064, F4, 18) (dual of [1064, 987, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(484, 1071, F4, 19) (dual of [1071, 987, 20]-code) | [i] | ✔ | |
| 27 | Linear OOA(431, 341, F4, 3, 9) (dual of [(341, 3), 992, 10]-NRT-code) | [i] | OOA Folding | |