Information on Result #1032517
Linear OOA(4143, 55, F4, 3, 110) (dual of [(55, 3), 22, 111]-NRT-code), using algebraic-geometric NRT-code AG(3;F,54P) 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(4209, 77, F4, 3, 146) (dual of [(77, 3), 22, 147]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(4200, 73, F4, 3, 142) (dual of [(73, 3), 19, 143]-NRT-code) | [i] | ||
| 3 | Linear OOA(4191, 69, F4, 3, 138) (dual of [(69, 3), 16, 139]-NRT-code) | [i] | ||
| 4 | Linear OOA(4152, 58, F4, 3, 115) (dual of [(58, 3), 22, 116]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 5 | Linear OOA(4147, 58, F4, 3, 110) (dual of [(58, 3), 27, 111]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4156, 59, F4, 3, 117) (dual of [(59, 3), 21, 118]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4149, 59, F4, 3, 110) (dual of [(59, 3), 28, 111]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4158, 60, F4, 3, 118) (dual of [(60, 3), 22, 119]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4150, 60, F4, 3, 110) (dual of [(60, 3), 30, 111]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4161, 61, F4, 3, 119) (dual of [(61, 3), 22, 120]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4152, 61, F4, 3, 110) (dual of [(61, 3), 31, 111]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4165, 62, F4, 3, 121) (dual of [(62, 3), 21, 122]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4154, 62, F4, 3, 110) (dual of [(62, 3), 32, 111]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4167, 63, F4, 3, 122) (dual of [(63, 3), 22, 123]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4155, 63, F4, 3, 110) (dual of [(63, 3), 34, 111]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4171, 64, F4, 3, 124) (dual of [(64, 3), 21, 125]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4157, 64, F4, 3, 110) (dual of [(64, 3), 35, 111]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4183, 68, F4, 3, 129) (dual of [(68, 3), 21, 130]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4164, 68, F4, 3, 110) (dual of [(68, 3), 40, 111]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4185, 69, F4, 3, 130) (dual of [(69, 3), 22, 131]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4165, 69, F4, 3, 110) (dual of [(69, 3), 42, 111]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4224, 82, F4, 3, 161) (dual of [(82, 3), 22, 162]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4209, 77, F4, 3, 147) (dual of [(77, 3), 22, 148]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4206, 76, F4, 3, 146) (dual of [(76, 3), 22, 147]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4194, 72, F4, 3, 136) (dual of [(72, 3), 22, 137]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4188, 70, F4, 3, 131) (dual of [(70, 3), 22, 132]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4167, 70, F4, 3, 110) (dual of [(70, 3), 43, 111]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4169, 71, F4, 3, 110) (dual of [(71, 3), 44, 111]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4171, 72, F4, 3, 110) (dual of [(72, 3), 45, 111]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4173, 73, F4, 3, 110) (dual of [(73, 3), 46, 111]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4175, 74, F4, 3, 110) (dual of [(74, 3), 47, 111]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4176, 75, F4, 3, 110) (dual of [(75, 3), 49, 111]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(4178, 76, F4, 3, 110) (dual of [(76, 3), 50, 111]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(4180, 77, F4, 3, 110) (dual of [(77, 3), 51, 111]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(4182, 78, F4, 3, 110) (dual of [(78, 3), 52, 111]-NRT-code) | [i] | ✔ | |