Information on Result #927253
Linear OOA(983, 86, F9, 2, 53) (dual of [(86, 2), 89, 54]-NRT-code), using construction X applied to AG(2;F,92P) ⊂ AG(2;F,105P) 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(957, 73, F9, 2, 40) (dual of [(73, 2), 89, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,105P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(913, 13, F9, 2, 12) (dual of [(13, 2), 13, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(913, 16, F9, 2, 12) (dual of [(16, 2), 19, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,19P) [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(913, 16, F9, 2, 12) (dual of [(16, 2), 19, 13]-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(3166, 172, F3, 2, 53) (dual of [(172, 2), 178, 54]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(983, 43, F9, 3, 53) (dual of [(43, 3), 46, 54]-NRT-code) | [i] | OOA Folding | |