Information on Result #1043229
Linear OOA(978, 76, F9, 3, 57) (dual of [(76, 3), 150, 58]-NRT-code), using construction X applied to AG(3;F,161P) ⊂ AG(3;F,166P) based on
- linear OOA(974, 73, F9, 3, 57) (dual of [(73, 3), 145, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,161P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(969, 73, F9, 3, 52) (dual of [(73, 3), 150, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,166P) [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(3156, 152, F3, 3, 57) (dual of [(152, 3), 300, 58]-NRT-code) | [i] | Trace Code for OOAs | |