Information on Result #1032513
Linear OOA(4145, 55, F4, 3, 112) (dual of [(55, 3), 20, 113]-NRT-code), using algebraic-geometric NRT-code AG(3;F,52P) 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(4205, 75, F4, 3, 146) (dual of [(75, 3), 20, 147]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(4196, 71, F4, 3, 142) (dual of [(71, 3), 17, 143]-NRT-code) | [i] | ||
| 3 | Linear OOA(4154, 58, F4, 3, 117) (dual of [(58, 3), 20, 118]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 4 | Linear OOA(4149, 58, F4, 3, 112) (dual of [(58, 3), 25, 113]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4158, 59, F4, 3, 119) (dual of [(59, 3), 19, 120]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4151, 59, F4, 3, 112) (dual of [(59, 3), 26, 113]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4160, 60, F4, 3, 120) (dual of [(60, 3), 20, 121]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4152, 60, F4, 3, 112) (dual of [(60, 3), 28, 113]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4163, 61, F4, 3, 121) (dual of [(61, 3), 20, 122]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4154, 61, F4, 3, 112) (dual of [(61, 3), 29, 113]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4167, 62, F4, 3, 123) (dual of [(62, 3), 19, 124]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4156, 62, F4, 3, 112) (dual of [(62, 3), 30, 113]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4169, 63, F4, 3, 124) (dual of [(63, 3), 20, 125]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4157, 63, F4, 3, 112) (dual of [(63, 3), 32, 113]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4173, 64, F4, 3, 126) (dual of [(64, 3), 19, 127]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4159, 64, F4, 3, 112) (dual of [(64, 3), 33, 113]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4223, 81, F4, 3, 162) (dual of [(81, 3), 20, 163]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4208, 76, F4, 3, 150) (dual of [(76, 3), 20, 151]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4196, 72, F4, 3, 140) (dual of [(72, 3), 20, 141]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4190, 70, F4, 3, 135) (dual of [(70, 3), 20, 136]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4187, 69, F4, 3, 133) (dual of [(69, 3), 20, 134]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4166, 68, F4, 3, 112) (dual of [(68, 3), 38, 113]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4167, 69, F4, 3, 112) (dual of [(69, 3), 40, 113]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4169, 70, F4, 3, 112) (dual of [(70, 3), 41, 113]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4171, 71, F4, 3, 112) (dual of [(71, 3), 42, 113]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4173, 72, F4, 3, 112) (dual of [(72, 3), 43, 113]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4175, 73, F4, 3, 112) (dual of [(73, 3), 44, 113]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4177, 74, F4, 3, 112) (dual of [(74, 3), 45, 113]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4178, 75, F4, 3, 112) (dual of [(75, 3), 47, 113]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4180, 76, F4, 3, 112) (dual of [(76, 3), 48, 113]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4182, 77, F4, 3, 112) (dual of [(77, 3), 49, 113]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4184, 78, F4, 3, 112) (dual of [(78, 3), 50, 113]-NRT-code) | [i] | ✔ | |