Information on Result #1032609
Linear OOA(497, 55, F4, 3, 64) (dual of [(55, 3), 68, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,100P) 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(4106, 58, F4, 3, 69) (dual of [(58, 3), 68, 70]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(4101, 58, F4, 3, 64) (dual of [(58, 3), 73, 65]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4110, 59, F4, 3, 71) (dual of [(59, 3), 67, 72]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4103, 59, F4, 3, 64) (dual of [(59, 3), 74, 65]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4112, 60, F4, 3, 72) (dual of [(60, 3), 68, 73]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4104, 60, F4, 3, 64) (dual of [(60, 3), 76, 65]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4115, 61, F4, 3, 73) (dual of [(61, 3), 68, 74]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4106, 61, F4, 3, 64) (dual of [(61, 3), 77, 65]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4119, 62, F4, 3, 75) (dual of [(62, 3), 67, 76]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4108, 62, F4, 3, 64) (dual of [(62, 3), 78, 65]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4121, 63, F4, 3, 76) (dual of [(63, 3), 68, 77]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4109, 63, F4, 3, 64) (dual of [(63, 3), 80, 65]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4125, 64, F4, 3, 78) (dual of [(64, 3), 67, 79]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4111, 64, F4, 3, 64) (dual of [(64, 3), 81, 65]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4137, 68, F4, 3, 83) (dual of [(68, 3), 67, 84]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4118, 68, F4, 3, 64) (dual of [(68, 3), 86, 65]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4139, 69, F4, 3, 84) (dual of [(69, 3), 68, 85]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4119, 69, F4, 3, 64) (dual of [(69, 3), 88, 65]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4142, 70, F4, 3, 85) (dual of [(70, 3), 68, 86]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4121, 70, F4, 3, 64) (dual of [(70, 3), 89, 65]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4145, 71, F4, 3, 86) (dual of [(71, 3), 68, 87]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4123, 71, F4, 3, 64) (dual of [(71, 3), 90, 65]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4149, 72, F4, 3, 88) (dual of [(72, 3), 67, 89]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4151, 73, F4, 3, 88) (dual of [(73, 3), 68, 89]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4125, 72, F4, 3, 64) (dual of [(72, 3), 91, 65]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4127, 73, F4, 3, 64) (dual of [(73, 3), 92, 65]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4155, 74, F4, 3, 90) (dual of [(74, 3), 67, 91]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4129, 74, F4, 3, 64) (dual of [(74, 3), 93, 65]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4157, 75, F4, 3, 91) (dual of [(75, 3), 68, 92]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4130, 75, F4, 3, 64) (dual of [(75, 3), 95, 65]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4161, 76, F4, 3, 93) (dual of [(76, 3), 67, 94]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4163, 77, F4, 3, 93) (dual of [(77, 3), 68, 94]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(4132, 76, F4, 3, 64) (dual of [(76, 3), 96, 65]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(4134, 77, F4, 3, 64) (dual of [(77, 3), 97, 65]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(4166, 78, F4, 3, 94) (dual of [(78, 3), 68, 95]-NRT-code) | [i] | ✔ | |