Information on Result #1048150
Linear OOA(3204, 152, F3, 3, 81) (dual of [(152, 3), 252, 82]-NRT-code), using trace code based on linear OOA(9102, 76, F9, 3, 81) (dual of [(76, 3), 126, 82]-NRT-code), using
- construction X applied to AG(3;F,137P) ⊂ AG(3;F,142P) [i] based on
- linear OOA(998, 73, F9, 3, 81) (dual of [(73, 3), 121, 82]-NRT-code), using algebraic-geometric NRT-code AG(3;F,137P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(993, 73, F9, 3, 76) (dual of [(73, 3), 126, 77]-NRT-code), using algebraic-geometric NRT-code AG(3;F,142P) [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(3205, 152, F3, 3, 81) (dual of [(152, 3), 251, 82]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3204, 76, F3, 5, 81) (dual of [(76, 5), 176, 82]-NRT-code) | [i] | OOA Folding | |