Information on Result #1032637
Linear OOA(483, 55, F4, 3, 50) (dual of [(55, 3), 82, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,114P) 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(492, 58, F4, 3, 55) (dual of [(58, 3), 82, 56]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(487, 58, F4, 3, 50) (dual of [(58, 3), 87, 51]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(496, 59, F4, 3, 57) (dual of [(59, 3), 81, 58]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(489, 59, F4, 3, 50) (dual of [(59, 3), 88, 51]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(498, 60, F4, 3, 58) (dual of [(60, 3), 82, 59]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(490, 60, F4, 3, 50) (dual of [(60, 3), 90, 51]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4101, 61, F4, 3, 59) (dual of [(61, 3), 82, 60]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(492, 61, F4, 3, 50) (dual of [(61, 3), 91, 51]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4105, 62, F4, 3, 61) (dual of [(62, 3), 81, 62]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(494, 62, F4, 3, 50) (dual of [(62, 3), 92, 51]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4107, 63, F4, 3, 62) (dual of [(63, 3), 82, 63]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(495, 63, F4, 3, 50) (dual of [(63, 3), 94, 51]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4111, 64, F4, 3, 64) (dual of [(64, 3), 81, 65]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(497, 64, F4, 3, 50) (dual of [(64, 3), 95, 51]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4123, 68, F4, 3, 69) (dual of [(68, 3), 81, 70]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4104, 68, F4, 3, 50) (dual of [(68, 3), 100, 51]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4125, 69, F4, 3, 70) (dual of [(69, 3), 82, 71]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4105, 69, F4, 3, 50) (dual of [(69, 3), 102, 51]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4128, 70, F4, 3, 71) (dual of [(70, 3), 82, 72]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4131, 71, F4, 3, 72) (dual of [(71, 3), 82, 73]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4135, 72, F4, 3, 74) (dual of [(72, 3), 81, 75]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4137, 73, F4, 3, 74) (dual of [(73, 3), 82, 75]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4141, 74, F4, 3, 76) (dual of [(74, 3), 81, 77]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4143, 75, F4, 3, 77) (dual of [(75, 3), 82, 78]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4147, 76, F4, 3, 79) (dual of [(76, 3), 81, 80]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4149, 77, F4, 3, 79) (dual of [(77, 3), 82, 80]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4152, 78, F4, 3, 80) (dual of [(78, 3), 82, 81]-NRT-code) | [i] | ✔ | |