Information on Result #707608
Linear OA(445, 1023, F4, 12) (dual of [1023, 978, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(445, 666, F4, 2, 12) (dual of [(666, 2), 1287, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(445, 666, F4, 3, 12) (dual of [(666, 3), 1953, 13]-NRT-code) | [i] | ||
| 3 | Digital (33, 45, 666)-net over F4 | [i] | ||
| 4 | Linear OA(449, 1051, F4, 12) (dual of [1051, 1002, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(450, 1080, F4, 12) (dual of [1080, 1030, 13]-code) | [i] | ||
| 6 | Linear OA(451, 1132, F4, 12) (dual of [1132, 1081, 13]-code) | [i] | ||
| 7 | Linear OA(452, 1216, F4, 12) (dual of [1216, 1164, 13]-code) | [i] | ||
| 8 | Linear OA(453, 1337, F4, 12) (dual of [1337, 1284, 13]-code) | [i] | ||
| 9 | Linear OA(453, 1036, F4, 14) (dual of [1036, 983, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(472, 1064, F4, 17) (dual of [1064, 992, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(471, 1059, F4, 17) (dual of [1059, 988, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(470, 1057, F4, 17) (dual of [1057, 987, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(469, 1052, F4, 17) (dual of [1052, 983, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(467, 1050, F4, 16) (dual of [1050, 983, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(468, 1050, F4, 17) (dual of [1050, 982, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(466, 1046, F4, 16) (dual of [1046, 980, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(477, 1060, F4, 18) (dual of [1060, 983, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(484, 1063, F4, 19) (dual of [1063, 979, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(472, 1049, F4, 18) (dual of [1049, 977, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(488, 1062, F4, 20) (dual of [1062, 974, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(463, 1041, F4, 16) (dual of [1041, 978, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(479, 1057, F4, 19) (dual of [1057, 978, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(487, 1065, F4, 20) (dual of [1065, 978, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(488, 1066, F4, 21) (dual of [1066, 978, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(487, 1064, F4, 21) (dual of [1064, 977, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(496, 1074, F4, 22) (dual of [1074, 978, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(495, 1067, F4, 22) (dual of [1067, 972, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(495, 1073, F4, 22) (dual of [1073, 978, 23]-code) | [i] | ✔ | |
| 29 | Linear OOA(445, 511, F4, 2, 12) (dual of [(511, 2), 977, 13]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(445, 341, F4, 3, 12) (dual of [(341, 3), 978, 13]-NRT-code) | [i] | ||