Information on Result #1032625
Linear OOA(489, 55, F4, 3, 56) (dual of [(55, 3), 76, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,108P) 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(498, 58, F4, 3, 61) (dual of [(58, 3), 76, 62]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
2 | Linear OOA(493, 58, F4, 3, 56) (dual of [(58, 3), 81, 57]-NRT-code) | [i] | ✔ | |
3 | Linear OOA(4102, 59, F4, 3, 63) (dual of [(59, 3), 75, 64]-NRT-code) | [i] | ✔ | |
4 | Linear OOA(495, 59, F4, 3, 56) (dual of [(59, 3), 82, 57]-NRT-code) | [i] | ✔ | |
5 | Linear OOA(4104, 60, F4, 3, 64) (dual of [(60, 3), 76, 65]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(496, 60, F4, 3, 56) (dual of [(60, 3), 84, 57]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4107, 61, F4, 3, 65) (dual of [(61, 3), 76, 66]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(498, 61, F4, 3, 56) (dual of [(61, 3), 85, 57]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4111, 62, F4, 3, 67) (dual of [(62, 3), 75, 68]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4100, 62, F4, 3, 56) (dual of [(62, 3), 86, 57]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4113, 63, F4, 3, 68) (dual of [(63, 3), 76, 69]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4101, 63, F4, 3, 56) (dual of [(63, 3), 88, 57]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4117, 64, F4, 3, 70) (dual of [(64, 3), 75, 71]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4103, 64, F4, 3, 56) (dual of [(64, 3), 89, 57]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4129, 68, F4, 3, 75) (dual of [(68, 3), 75, 76]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4110, 68, F4, 3, 56) (dual of [(68, 3), 94, 57]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4131, 69, F4, 3, 76) (dual of [(69, 3), 76, 77]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4111, 69, F4, 3, 56) (dual of [(69, 3), 96, 57]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4134, 70, F4, 3, 77) (dual of [(70, 3), 76, 78]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4113, 70, F4, 3, 56) (dual of [(70, 3), 97, 57]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4137, 71, F4, 3, 78) (dual of [(71, 3), 76, 79]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4115, 71, F4, 3, 56) (dual of [(71, 3), 98, 57]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4141, 72, F4, 3, 80) (dual of [(72, 3), 75, 81]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4143, 73, F4, 3, 80) (dual of [(73, 3), 76, 81]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4117, 72, F4, 3, 56) (dual of [(72, 3), 99, 57]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4147, 74, F4, 3, 82) (dual of [(74, 3), 75, 83]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4149, 75, F4, 3, 83) (dual of [(75, 3), 76, 84]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4153, 76, F4, 3, 85) (dual of [(76, 3), 75, 86]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4155, 77, F4, 3, 85) (dual of [(77, 3), 76, 86]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4158, 78, F4, 3, 86) (dual of [(78, 3), 76, 87]-NRT-code) | [i] | ✔ |