Information on Result #938590
Linear OOA(3170, 176, F3, 2, 53) (dual of [(176, 2), 182, 54]-NRT-code), using trace code based on linear OOA(985, 88, F9, 2, 53) (dual of [(88, 2), 91, 54]-NRT-code), using
- construction X applied to AG(2;F,92P) ⊂ AG(2;F,107P) [i] based on
- linear OOA(970, 73, F9, 2, 53) (dual of [(73, 2), 76, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,92P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(955, 73, F9, 2, 38) (dual of [(73, 2), 91, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,107P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(915, 15, F9, 2, 14) (dual of [(15, 2), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(915, 16, F9, 2, 14) (dual of [(16, 2), 17, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(915, 16, F9, 2, 14) (dual of [(16, 2), 17, 15]-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(3170, 88, F3, 4, 53) (dual of [(88, 4), 182, 54]-NRT-code) | [i] | OOA Folding | |