Information on Result #1032521
Linear OOA(4141, 55, F4, 3, 108) (dual of [(55, 3), 24, 109]-NRT-code), using algebraic-geometric NRT-code AG(3;F,56P) based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4213, 79, F4, 3, 147) (dual of [(79, 3), 24, 148]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(4204, 75, F4, 3, 144) (dual of [(75, 3), 21, 145]-NRT-code) | [i] | ||
| 3 | Linear OOA(4195, 71, F4, 3, 138) (dual of [(71, 3), 18, 139]-NRT-code) | [i] | ||
| 4 | Linear OOA(4150, 58, F4, 3, 113) (dual of [(58, 3), 24, 114]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 5 | Linear OOA(4145, 58, F4, 3, 108) (dual of [(58, 3), 29, 109]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4154, 59, F4, 3, 115) (dual of [(59, 3), 23, 116]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4147, 59, F4, 3, 108) (dual of [(59, 3), 30, 109]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4156, 60, F4, 3, 116) (dual of [(60, 3), 24, 117]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4148, 60, F4, 3, 108) (dual of [(60, 3), 32, 109]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4159, 61, F4, 3, 117) (dual of [(61, 3), 24, 118]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4150, 61, F4, 3, 108) (dual of [(61, 3), 33, 109]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4163, 62, F4, 3, 119) (dual of [(62, 3), 23, 120]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4152, 62, F4, 3, 108) (dual of [(62, 3), 34, 109]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4165, 63, F4, 3, 120) (dual of [(63, 3), 24, 121]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4153, 63, F4, 3, 108) (dual of [(63, 3), 36, 109]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4169, 64, F4, 3, 122) (dual of [(64, 3), 23, 123]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4155, 64, F4, 3, 108) (dual of [(64, 3), 37, 109]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4181, 68, F4, 3, 127) (dual of [(68, 3), 23, 128]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4162, 68, F4, 3, 108) (dual of [(68, 3), 42, 109]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4183, 69, F4, 3, 128) (dual of [(69, 3), 24, 129]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4163, 69, F4, 3, 108) (dual of [(69, 3), 44, 109]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4186, 70, F4, 3, 129) (dual of [(70, 3), 24, 130]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4165, 70, F4, 3, 108) (dual of [(70, 3), 45, 109]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4189, 71, F4, 3, 130) (dual of [(71, 3), 24, 131]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4167, 71, F4, 3, 108) (dual of [(71, 3), 46, 109]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4231, 85, F4, 3, 163) (dual of [(85, 3), 24, 164]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4222, 82, F4, 3, 157) (dual of [(82, 3), 24, 158]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4207, 77, F4, 3, 143) (dual of [(77, 3), 24, 144]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4204, 76, F4, 3, 142) (dual of [(76, 3), 24, 143]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4192, 72, F4, 3, 132) (dual of [(72, 3), 24, 133]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4169, 72, F4, 3, 108) (dual of [(72, 3), 47, 109]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4171, 73, F4, 3, 108) (dual of [(73, 3), 48, 109]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(4173, 74, F4, 3, 108) (dual of [(74, 3), 49, 109]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(4174, 75, F4, 3, 108) (dual of [(75, 3), 51, 109]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(4176, 76, F4, 3, 108) (dual of [(76, 3), 52, 109]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(4178, 77, F4, 3, 108) (dual of [(77, 3), 53, 109]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(4180, 78, F4, 3, 108) (dual of [(78, 3), 54, 109]-NRT-code) | [i] | ✔ | |