Information on Result #1032627
Linear OOA(488, 55, F4, 3, 55) (dual of [(55, 3), 77, 56]-NRT-code), using algebraic-geometric NRT-code AG(3;F,109P) 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(497, 58, F4, 3, 60) (dual of [(58, 3), 77, 61]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(492, 58, F4, 3, 55) (dual of [(58, 3), 82, 56]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4101, 59, F4, 3, 62) (dual of [(59, 3), 76, 63]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(494, 59, F4, 3, 55) (dual of [(59, 3), 83, 56]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4103, 60, F4, 3, 63) (dual of [(60, 3), 77, 64]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(495, 60, F4, 3, 55) (dual of [(60, 3), 85, 56]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4106, 61, F4, 3, 64) (dual of [(61, 3), 77, 65]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(497, 61, F4, 3, 55) (dual of [(61, 3), 86, 56]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4110, 62, F4, 3, 66) (dual of [(62, 3), 76, 67]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(499, 62, F4, 3, 55) (dual of [(62, 3), 87, 56]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4112, 63, F4, 3, 67) (dual of [(63, 3), 77, 68]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4100, 63, F4, 3, 55) (dual of [(63, 3), 89, 56]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4116, 64, F4, 3, 69) (dual of [(64, 3), 76, 70]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4102, 64, F4, 3, 55) (dual of [(64, 3), 90, 56]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4128, 68, F4, 3, 74) (dual of [(68, 3), 76, 75]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4109, 68, F4, 3, 55) (dual of [(68, 3), 95, 56]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4130, 69, F4, 3, 75) (dual of [(69, 3), 77, 76]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4110, 69, F4, 3, 55) (dual of [(69, 3), 97, 56]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4133, 70, F4, 3, 76) (dual of [(70, 3), 77, 77]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4112, 70, F4, 3, 55) (dual of [(70, 3), 98, 56]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4136, 71, F4, 3, 77) (dual of [(71, 3), 77, 78]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4114, 71, F4, 3, 55) (dual of [(71, 3), 99, 56]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4140, 72, F4, 3, 79) (dual of [(72, 3), 76, 80]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4142, 73, F4, 3, 79) (dual of [(73, 3), 77, 80]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4146, 74, F4, 3, 81) (dual of [(74, 3), 76, 82]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4148, 75, F4, 3, 82) (dual of [(75, 3), 77, 83]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4152, 76, F4, 3, 84) (dual of [(76, 3), 76, 85]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4154, 77, F4, 3, 84) (dual of [(77, 3), 77, 85]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4157, 78, F4, 3, 85) (dual of [(78, 3), 77, 86]-NRT-code) | [i] | ✔ | |