Information on Result #927337
Linear OOA(989, 87, F9, 2, 58) (dual of [(87, 2), 85, 59]-NRT-code), using construction X applied to AG(2;F,87P) ⊂ AG(2;F,101P) based on
- linear OOA(975, 73, F9, 2, 58) (dual of [(73, 2), 71, 59]-NRT-code), using algebraic-geometric NRT-code AG(2;F,87P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(961, 73, F9, 2, 44) (dual of [(73, 2), 85, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,101P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(914, 14, F9, 2, 13) (dual of [(14, 2), 14, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(914, 16, F9, 2, 13) (dual of [(16, 2), 18, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,18P) [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(914, 16, F9, 2, 13) (dual of [(16, 2), 18, 14]-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(3178, 174, F3, 2, 58) (dual of [(174, 2), 170, 59]-NRT-code) | [i] | Trace Code for OOAs | |