Information on Result #1047913
Linear OOA(386, 84, F3, 3, 31) (dual of [(84, 3), 166, 32]-NRT-code), using trace code based on linear OOA(943, 42, F9, 3, 31) (dual of [(42, 3), 83, 32]-NRT-code), using
- construction X applied to AG(3;F,85P) ⊂ AG(3;F,90P) [i] based on
- linear OOA(939, 39, F9, 3, 31) (dual of [(39, 3), 78, 32]-NRT-code), using algebraic-geometric NRT-code AG(3;F,85P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(934, 39, F9, 3, 26) (dual of [(39, 3), 83, 27]-NRT-code), using algebraic-geometric NRT-code AG(3;F,90P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40 (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(387, 84, F3, 3, 31) (dual of [(84, 3), 165, 32]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(386, 42, F3, 5, 31) (dual of [(42, 5), 124, 32]-NRT-code) | [i] | OOA Folding | |