Information on Result #1032603
Linear OOA(4100, 55, F4, 3, 67) (dual of [(55, 3), 65, 68]-NRT-code), using algebraic-geometric NRT-code AG(3;F,97P) 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(4109, 58, F4, 3, 72) (dual of [(58, 3), 65, 73]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
2 | Linear OOA(4104, 58, F4, 3, 67) (dual of [(58, 3), 70, 68]-NRT-code) | [i] | ✔ | |
3 | Linear OOA(4113, 59, F4, 3, 74) (dual of [(59, 3), 64, 75]-NRT-code) | [i] | ✔ | |
4 | Linear OOA(4106, 59, F4, 3, 67) (dual of [(59, 3), 71, 68]-NRT-code) | [i] | ✔ | |
5 | Linear OOA(4115, 60, F4, 3, 75) (dual of [(60, 3), 65, 76]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(4107, 60, F4, 3, 67) (dual of [(60, 3), 73, 68]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4118, 61, F4, 3, 76) (dual of [(61, 3), 65, 77]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4109, 61, F4, 3, 67) (dual of [(61, 3), 74, 68]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4122, 62, F4, 3, 78) (dual of [(62, 3), 64, 79]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4111, 62, F4, 3, 67) (dual of [(62, 3), 75, 68]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4124, 63, F4, 3, 79) (dual of [(63, 3), 65, 80]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4112, 63, F4, 3, 67) (dual of [(63, 3), 77, 68]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4128, 64, F4, 3, 81) (dual of [(64, 3), 64, 82]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4114, 64, F4, 3, 67) (dual of [(64, 3), 78, 68]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4140, 68, F4, 3, 86) (dual of [(68, 3), 64, 87]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4121, 68, F4, 3, 67) (dual of [(68, 3), 83, 68]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4142, 69, F4, 3, 87) (dual of [(69, 3), 65, 88]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4122, 69, F4, 3, 67) (dual of [(69, 3), 85, 68]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4145, 70, F4, 3, 88) (dual of [(70, 3), 65, 89]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4124, 70, F4, 3, 67) (dual of [(70, 3), 86, 68]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4148, 71, F4, 3, 89) (dual of [(71, 3), 65, 90]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4126, 71, F4, 3, 67) (dual of [(71, 3), 87, 68]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4152, 72, F4, 3, 91) (dual of [(72, 3), 64, 92]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4154, 73, F4, 3, 91) (dual of [(73, 3), 65, 92]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4128, 72, F4, 3, 67) (dual of [(72, 3), 88, 68]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4130, 73, F4, 3, 67) (dual of [(73, 3), 89, 68]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4158, 74, F4, 3, 93) (dual of [(74, 3), 64, 94]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4132, 74, F4, 3, 67) (dual of [(74, 3), 90, 68]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4160, 75, F4, 3, 94) (dual of [(75, 3), 65, 95]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4133, 75, F4, 3, 67) (dual of [(75, 3), 92, 68]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4164, 76, F4, 3, 96) (dual of [(76, 3), 64, 97]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4166, 77, F4, 3, 96) (dual of [(77, 3), 65, 97]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4135, 76, F4, 3, 67) (dual of [(76, 3), 93, 68]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4137, 77, F4, 3, 67) (dual of [(77, 3), 94, 68]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4169, 78, F4, 3, 97) (dual of [(78, 3), 65, 98]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4139, 78, F4, 3, 67) (dual of [(78, 3), 95, 68]-NRT-code) | [i] | ✔ |