Information on Result #919231
Linear OOA(487, 55, F4, 2, 54) (dual of [(55, 2), 23, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,55P) 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(494, 58, F4, 2, 58) (dual of [(58, 2), 22, 59]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
2 | Linear OOA(490, 58, F4, 2, 54) (dual of [(58, 2), 26, 55]-NRT-code) | [i] | ✔ | |
3 | Linear OOA(496, 59, F4, 2, 59) (dual of [(59, 2), 22, 60]-NRT-code) | [i] | ✔ | |
4 | Linear OOA(491, 59, F4, 2, 54) (dual of [(59, 2), 27, 55]-NRT-code) | [i] | ✔ | |
5 | Linear OOA(498, 60, F4, 2, 60) (dual of [(60, 2), 22, 61]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(499, 61, F4, 2, 60) (dual of [(61, 2), 23, 61]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(492, 60, F4, 2, 54) (dual of [(60, 2), 28, 55]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(493, 61, F4, 2, 54) (dual of [(61, 2), 29, 55]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4101, 62, F4, 2, 61) (dual of [(62, 2), 23, 62]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(494, 62, F4, 2, 54) (dual of [(62, 2), 30, 55]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4103, 63, F4, 2, 62) (dual of [(63, 2), 23, 63]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(495, 63, F4, 2, 54) (dual of [(63, 2), 31, 55]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4105, 64, F4, 2, 63) (dual of [(64, 2), 23, 64]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(496, 64, F4, 2, 54) (dual of [(64, 2), 32, 55]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(499, 66, F4, 2, 54) (dual of [(66, 2), 33, 55]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4100, 67, F4, 2, 54) (dual of [(67, 2), 34, 55]-NRT-code) | [i] | ✔ |