Information on Result #1032589
Linear OOA(4107, 55, F4, 3, 74) (dual of [(55, 3), 58, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,90P) 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(4116, 58, F4, 3, 79) (dual of [(58, 3), 58, 80]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(4111, 58, F4, 3, 74) (dual of [(58, 3), 63, 75]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4120, 59, F4, 3, 81) (dual of [(59, 3), 57, 82]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4113, 59, F4, 3, 74) (dual of [(59, 3), 64, 75]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4122, 60, F4, 3, 82) (dual of [(60, 3), 58, 83]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4114, 60, F4, 3, 74) (dual of [(60, 3), 66, 75]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4125, 61, F4, 3, 83) (dual of [(61, 3), 58, 84]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4116, 61, F4, 3, 74) (dual of [(61, 3), 67, 75]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4129, 62, F4, 3, 85) (dual of [(62, 3), 57, 86]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4118, 62, F4, 3, 74) (dual of [(62, 3), 68, 75]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4131, 63, F4, 3, 86) (dual of [(63, 3), 58, 87]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4119, 63, F4, 3, 74) (dual of [(63, 3), 70, 75]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4135, 64, F4, 3, 88) (dual of [(64, 3), 57, 89]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4121, 64, F4, 3, 74) (dual of [(64, 3), 71, 75]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4147, 68, F4, 3, 93) (dual of [(68, 3), 57, 94]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4128, 68, F4, 3, 74) (dual of [(68, 3), 76, 75]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4149, 69, F4, 3, 94) (dual of [(69, 3), 58, 95]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4129, 69, F4, 3, 74) (dual of [(69, 3), 78, 75]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4152, 70, F4, 3, 95) (dual of [(70, 3), 58, 96]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4131, 70, F4, 3, 74) (dual of [(70, 3), 79, 75]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4155, 71, F4, 3, 96) (dual of [(71, 3), 58, 97]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4133, 71, F4, 3, 74) (dual of [(71, 3), 80, 75]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4159, 72, F4, 3, 98) (dual of [(72, 3), 57, 99]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4161, 73, F4, 3, 98) (dual of [(73, 3), 58, 99]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4135, 72, F4, 3, 74) (dual of [(72, 3), 81, 75]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4137, 73, F4, 3, 74) (dual of [(73, 3), 82, 75]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4165, 74, F4, 3, 100) (dual of [(74, 3), 57, 101]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4139, 74, F4, 3, 74) (dual of [(74, 3), 83, 75]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4167, 75, F4, 3, 101) (dual of [(75, 3), 58, 102]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4140, 75, F4, 3, 74) (dual of [(75, 3), 85, 75]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4171, 76, F4, 3, 103) (dual of [(76, 3), 57, 104]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4173, 77, F4, 3, 103) (dual of [(77, 3), 58, 104]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(4142, 76, F4, 3, 74) (dual of [(76, 3), 86, 75]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(4144, 77, F4, 3, 74) (dual of [(77, 3), 87, 75]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(4176, 78, F4, 3, 104) (dual of [(78, 3), 58, 105]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(4146, 78, F4, 3, 74) (dual of [(78, 3), 88, 75]-NRT-code) | [i] | ✔ | |