Information on Result #940167
Linear OOA(5144, 138, F5, 2, 64) (dual of [(138, 2), 132, 65]-NRT-code), using trace code based on linear OOA(2572, 69, F25, 2, 64) (dual of [(69, 2), 66, 65]-NRT-code), using
- construction X applied to AG(2;F,65P) ⊂ AG(2;F,70P) [i] based on
- linear OOA(2568, 65, F25, 2, 64) (dual of [(65, 2), 62, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,65P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2563, 65, F25, 2, 59) (dual of [(65, 2), 67, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,70P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OOA(254, 4, F25, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;46,25) [i]
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
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(5145, 138, F5, 2, 64) (dual of [(138, 2), 131, 65]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5144, 69, F5, 3, 64) (dual of [(69, 3), 63, 65]-NRT-code) | [i] | OOA Folding | |