Information on Result #1032575
Linear OOA(4114, 55, F4, 3, 81) (dual of [(55, 3), 51, 82]-NRT-code), using algebraic-geometric NRT-code AG(3;F,83P) 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(4195, 74, F4, 3, 126) (dual of [(74, 3), 27, 127]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(4123, 58, F4, 3, 86) (dual of [(58, 3), 51, 87]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 3 | Linear OOA(4118, 58, F4, 3, 81) (dual of [(58, 3), 56, 82]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4127, 59, F4, 3, 88) (dual of [(59, 3), 50, 89]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4120, 59, F4, 3, 81) (dual of [(59, 3), 57, 82]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4129, 60, F4, 3, 89) (dual of [(60, 3), 51, 90]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4121, 60, F4, 3, 81) (dual of [(60, 3), 59, 82]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4132, 61, F4, 3, 90) (dual of [(61, 3), 51, 91]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4123, 61, F4, 3, 81) (dual of [(61, 3), 60, 82]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4136, 62, F4, 3, 92) (dual of [(62, 3), 50, 93]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4125, 62, F4, 3, 81) (dual of [(62, 3), 61, 82]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4138, 63, F4, 3, 93) (dual of [(63, 3), 51, 94]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4126, 63, F4, 3, 81) (dual of [(63, 3), 63, 82]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4142, 64, F4, 3, 95) (dual of [(64, 3), 50, 96]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4128, 64, F4, 3, 81) (dual of [(64, 3), 64, 82]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4154, 68, F4, 3, 100) (dual of [(68, 3), 50, 101]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4135, 68, F4, 3, 81) (dual of [(68, 3), 69, 82]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4156, 69, F4, 3, 101) (dual of [(69, 3), 51, 102]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4136, 69, F4, 3, 81) (dual of [(69, 3), 71, 82]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4159, 70, F4, 3, 102) (dual of [(70, 3), 51, 103]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4138, 70, F4, 3, 81) (dual of [(70, 3), 72, 82]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4162, 71, F4, 3, 103) (dual of [(71, 3), 51, 104]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4140, 71, F4, 3, 81) (dual of [(71, 3), 73, 82]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4166, 72, F4, 3, 105) (dual of [(72, 3), 50, 106]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4168, 73, F4, 3, 105) (dual of [(73, 3), 51, 106]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4142, 72, F4, 3, 81) (dual of [(72, 3), 74, 82]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4144, 73, F4, 3, 81) (dual of [(73, 3), 75, 82]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4172, 74, F4, 3, 107) (dual of [(74, 3), 50, 108]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4146, 74, F4, 3, 81) (dual of [(74, 3), 76, 82]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4174, 75, F4, 3, 108) (dual of [(75, 3), 51, 109]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4147, 75, F4, 3, 81) (dual of [(75, 3), 78, 82]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4178, 76, F4, 3, 110) (dual of [(76, 3), 50, 111]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(4180, 77, F4, 3, 110) (dual of [(77, 3), 51, 111]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(4149, 76, F4, 3, 81) (dual of [(76, 3), 79, 82]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(4151, 77, F4, 3, 81) (dual of [(77, 3), 80, 82]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(4183, 78, F4, 3, 111) (dual of [(78, 3), 51, 112]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(4153, 78, F4, 3, 81) (dual of [(78, 3), 81, 82]-NRT-code) | [i] | ✔ | |