Information on Result #1032587
Linear OOA(4108, 55, F4, 3, 75) (dual of [(55, 3), 57, 76]-NRT-code), using algebraic-geometric NRT-code AG(3;F,89P) 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(4117, 58, F4, 3, 80) (dual of [(58, 3), 57, 81]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
2 | Linear OOA(4112, 58, F4, 3, 75) (dual of [(58, 3), 62, 76]-NRT-code) | [i] | ✔ | |
3 | Linear OOA(4121, 59, F4, 3, 82) (dual of [(59, 3), 56, 83]-NRT-code) | [i] | ✔ | |
4 | Linear OOA(4114, 59, F4, 3, 75) (dual of [(59, 3), 63, 76]-NRT-code) | [i] | ✔ | |
5 | Linear OOA(4123, 60, F4, 3, 83) (dual of [(60, 3), 57, 84]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(4115, 60, F4, 3, 75) (dual of [(60, 3), 65, 76]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4126, 61, F4, 3, 84) (dual of [(61, 3), 57, 85]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4117, 61, F4, 3, 75) (dual of [(61, 3), 66, 76]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4130, 62, F4, 3, 86) (dual of [(62, 3), 56, 87]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4119, 62, F4, 3, 75) (dual of [(62, 3), 67, 76]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4132, 63, F4, 3, 87) (dual of [(63, 3), 57, 88]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4120, 63, F4, 3, 75) (dual of [(63, 3), 69, 76]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4136, 64, F4, 3, 89) (dual of [(64, 3), 56, 90]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4122, 64, F4, 3, 75) (dual of [(64, 3), 70, 76]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4148, 68, F4, 3, 94) (dual of [(68, 3), 56, 95]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4129, 68, F4, 3, 75) (dual of [(68, 3), 75, 76]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4150, 69, F4, 3, 95) (dual of [(69, 3), 57, 96]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4130, 69, F4, 3, 75) (dual of [(69, 3), 77, 76]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4153, 70, F4, 3, 96) (dual of [(70, 3), 57, 97]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4132, 70, F4, 3, 75) (dual of [(70, 3), 78, 76]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4156, 71, F4, 3, 97) (dual of [(71, 3), 57, 98]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4134, 71, F4, 3, 75) (dual of [(71, 3), 79, 76]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4160, 72, F4, 3, 99) (dual of [(72, 3), 56, 100]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4162, 73, F4, 3, 99) (dual of [(73, 3), 57, 100]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4136, 72, F4, 3, 75) (dual of [(72, 3), 80, 76]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4138, 73, F4, 3, 75) (dual of [(73, 3), 81, 76]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4166, 74, F4, 3, 101) (dual of [(74, 3), 56, 102]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4140, 74, F4, 3, 75) (dual of [(74, 3), 82, 76]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4168, 75, F4, 3, 102) (dual of [(75, 3), 57, 103]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4141, 75, F4, 3, 75) (dual of [(75, 3), 84, 76]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4172, 76, F4, 3, 104) (dual of [(76, 3), 56, 105]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4174, 77, F4, 3, 104) (dual of [(77, 3), 57, 105]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4143, 76, F4, 3, 75) (dual of [(76, 3), 85, 76]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4145, 77, F4, 3, 75) (dual of [(77, 3), 86, 76]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4177, 78, F4, 3, 105) (dual of [(78, 3), 57, 106]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4147, 78, F4, 3, 75) (dual of [(78, 3), 87, 76]-NRT-code) | [i] | ✔ |