Information on Result #1032617
Linear OOA(493, 55, F4, 3, 60) (dual of [(55, 3), 72, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,104P) 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(4102, 58, F4, 3, 65) (dual of [(58, 3), 72, 66]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(497, 58, F4, 3, 60) (dual of [(58, 3), 77, 61]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4106, 59, F4, 3, 67) (dual of [(59, 3), 71, 68]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(499, 59, F4, 3, 60) (dual of [(59, 3), 78, 61]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4108, 60, F4, 3, 68) (dual of [(60, 3), 72, 69]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4100, 60, F4, 3, 60) (dual of [(60, 3), 80, 61]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4111, 61, F4, 3, 69) (dual of [(61, 3), 72, 70]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4102, 61, F4, 3, 60) (dual of [(61, 3), 81, 61]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4115, 62, F4, 3, 71) (dual of [(62, 3), 71, 72]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4104, 62, F4, 3, 60) (dual of [(62, 3), 82, 61]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4117, 63, F4, 3, 72) (dual of [(63, 3), 72, 73]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4105, 63, F4, 3, 60) (dual of [(63, 3), 84, 61]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4121, 64, F4, 3, 74) (dual of [(64, 3), 71, 75]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4107, 64, F4, 3, 60) (dual of [(64, 3), 85, 61]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4133, 68, F4, 3, 79) (dual of [(68, 3), 71, 80]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4114, 68, F4, 3, 60) (dual of [(68, 3), 90, 61]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4135, 69, F4, 3, 80) (dual of [(69, 3), 72, 81]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4115, 69, F4, 3, 60) (dual of [(69, 3), 92, 61]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4138, 70, F4, 3, 81) (dual of [(70, 3), 72, 82]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4117, 70, F4, 3, 60) (dual of [(70, 3), 93, 61]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4141, 71, F4, 3, 82) (dual of [(71, 3), 72, 83]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4119, 71, F4, 3, 60) (dual of [(71, 3), 94, 61]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4145, 72, F4, 3, 84) (dual of [(72, 3), 71, 85]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4147, 73, F4, 3, 84) (dual of [(73, 3), 72, 85]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4121, 72, F4, 3, 60) (dual of [(72, 3), 95, 61]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4123, 73, F4, 3, 60) (dual of [(73, 3), 96, 61]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4151, 74, F4, 3, 86) (dual of [(74, 3), 71, 87]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4125, 74, F4, 3, 60) (dual of [(74, 3), 97, 61]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4153, 75, F4, 3, 87) (dual of [(75, 3), 72, 88]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4157, 76, F4, 3, 89) (dual of [(76, 3), 71, 90]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4159, 77, F4, 3, 89) (dual of [(77, 3), 72, 90]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4162, 78, F4, 3, 90) (dual of [(78, 3), 72, 91]-NRT-code) | [i] | ✔ | |