Information on Result #1048042
Linear OOA(3176, 152, F3, 3, 67) (dual of [(152, 3), 280, 68]-NRT-code), using trace code based on linear OOA(988, 76, F9, 3, 67) (dual of [(76, 3), 140, 68]-NRT-code), using
- construction X applied to AG(3;F,151P) ⊂ AG(3;F,156P) [i] based on
- linear OOA(984, 73, F9, 3, 67) (dual of [(73, 3), 135, 68]-NRT-code), using algebraic-geometric NRT-code AG(3;F,151P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(979, 73, F9, 3, 62) (dual of [(73, 3), 140, 63]-NRT-code), using algebraic-geometric NRT-code AG(3;F,156P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(94, 3, F9, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;23,9) [i]
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 3, 4) (dual of [(9, 3), 23, 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(3177, 152, F3, 3, 67) (dual of [(152, 3), 279, 68]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3176, 76, F3, 5, 67) (dual of [(76, 5), 204, 68]-NRT-code) | [i] | OOA Folding | |