Information on Result #707556
Linear OA(436, 1023, F4, 10) (dual of [1023, 987, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(436, 535, F4, 2, 10) (dual of [(535, 2), 1034, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(436, 535, F4, 3, 10) (dual of [(535, 3), 1569, 11]-NRT-code) | [i] | ||
| 3 | Digital (26, 36, 535)-net over F4 | [i] | ||
| 4 | Linear OA(460, 1060, F4, 14) (dual of [1060, 1000, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(441, 1033, F4, 11) (dual of [1033, 992, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(458, 1053, F4, 14) (dual of [1053, 995, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(447, 1039, F4, 12) (dual of [1039, 992, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(466, 1063, F4, 15) (dual of [1063, 997, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(465, 1057, F4, 15) (dual of [1057, 992, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(456, 1048, F4, 14) (dual of [1048, 992, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(455, 1045, F4, 14) (dual of [1045, 990, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(463, 1055, F4, 15) (dual of [1055, 992, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(462, 1049, F4, 15) (dual of [1049, 987, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(471, 1062, F4, 16) (dual of [1062, 991, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(446, 1033, F4, 12) (dual of [1033, 987, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(460, 1045, F4, 15) (dual of [1045, 985, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(467, 1049, F4, 16) (dual of [1049, 982, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(469, 1056, F4, 17) (dual of [1056, 987, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(468, 1053, F4, 17) (dual of [1053, 985, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(476, 1063, F4, 18) (dual of [1063, 987, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(475, 1057, F4, 18) (dual of [1057, 982, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(484, 1070, F4, 19) (dual of [1070, 986, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(475, 1060, F4, 18) (dual of [1060, 985, 19]-code) | [i] | ✔ | |
| 24 | Linear OA(483, 1070, F4, 19) (dual of [1070, 987, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(489, 1071, F4, 20) (dual of [1071, 982, 21]-code) | [i] | ✔ | |