Information on Result #919227
Linear OOA(489, 55, F4, 2, 56) (dual of [(55, 2), 21, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,53P) 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(496, 58, F4, 2, 60) (dual of [(58, 2), 20, 61]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(492, 58, F4, 2, 56) (dual of [(58, 2), 24, 57]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(498, 59, F4, 2, 61) (dual of [(59, 2), 20, 62]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(493, 59, F4, 2, 56) (dual of [(59, 2), 25, 57]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4101, 61, F4, 2, 62) (dual of [(61, 2), 21, 63]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(494, 60, F4, 2, 56) (dual of [(60, 2), 26, 57]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(495, 61, F4, 2, 56) (dual of [(61, 2), 27, 57]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4103, 62, F4, 2, 63) (dual of [(62, 2), 21, 64]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(496, 62, F4, 2, 56) (dual of [(62, 2), 28, 57]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(497, 63, F4, 2, 56) (dual of [(63, 2), 29, 57]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(498, 64, F4, 2, 56) (dual of [(64, 2), 30, 57]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4101, 66, F4, 2, 56) (dual of [(66, 2), 31, 57]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4102, 67, F4, 2, 56) (dual of [(67, 2), 32, 57]-NRT-code) | [i] | ✔ | |