Information on Result #708236
Linear OA(4121, 1023, F4, 33) (dual of [1023, 902, 34]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34
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 BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [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(4121, 863, F4, 2, 33) (dual of [(863, 2), 1605, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4121, 863, F4, 3, 33) (dual of [(863, 3), 2468, 34]-NRT-code) | [i] | ||
| 3 | Digital (88, 121, 863)-net over F4 | [i] | ||
| 4 | Linear OA(4133, 1066, F4, 33) (dual of [1066, 933, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4132, 1064, F4, 33) (dual of [1064, 932, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(4131, 1059, F4, 33) (dual of [1059, 928, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(4130, 1057, F4, 33) (dual of [1057, 927, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(4129, 1052, F4, 33) (dual of [1052, 923, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(4127, 1050, F4, 32) (dual of [1050, 923, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(4128, 1050, F4, 33) (dual of [1050, 922, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(4126, 1046, F4, 32) (dual of [1046, 920, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(4131, 1063, F4, 33) (dual of [1063, 932, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(4130, 1060, F4, 33) (dual of [1060, 930, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(4128, 1058, F4, 32) (dual of [1058, 930, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(4129, 1056, F4, 33) (dual of [1056, 927, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(4128, 1053, F4, 33) (dual of [1053, 925, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(4127, 1049, F4, 33) (dual of [1049, 922, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(4125, 1047, F4, 32) (dual of [1047, 922, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(4126, 1046, F4, 33) (dual of [1046, 920, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(4132, 1049, F4, 34) (dual of [1049, 917, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(4131, 1048, F4, 34) (dual of [1048, 917, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(4130, 1045, F4, 34) (dual of [1045, 915, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(4139, 1057, F4, 35) (dual of [1057, 918, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(4137, 1054, F4, 35) (dual of [1054, 917, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(4136, 1051, F4, 35) (dual of [1051, 915, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(4148, 1066, F4, 37) (dual of [1066, 918, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(4147, 1064, F4, 37) (dual of [1064, 917, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(4146, 1063, F4, 37) (dual of [1063, 917, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(4145, 1060, F4, 37) (dual of [1060, 915, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(4143, 1058, F4, 36) (dual of [1058, 915, 37]-code) | [i] | ✔ | |
| 31 | Linear OA(4155, 1073, F4, 38) (dual of [1073, 918, 39]-code) | [i] | ✔ | |
| 32 | Linear OOA(4121, 341, F4, 3, 33) (dual of [(341, 3), 902, 34]-NRT-code) | [i] | OOA Folding | |