Information on Result #926983
Linear OOA(9111, 84, F9, 2, 83) (dual of [(84, 2), 57, 84]-NRT-code), using construction X applied to AG(2;F,62P) ⊂ AG(2;F,73P) based on
- linear OOA(9100, 73, F9, 2, 83) (dual of [(73, 2), 46, 84]-NRT-code), using algebraic-geometric NRT-code AG(2;F,62P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(989, 73, F9, 2, 72) (dual of [(73, 2), 57, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,73P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(911, 11, F9, 2, 10) (dual of [(11, 2), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(911, 16, F9, 2, 10) (dual of [(16, 2), 21, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,21P) [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(911, 16, F9, 2, 10) (dual of [(16, 2), 21, 11]-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(9111, 42, F9, 3, 83) (dual of [(42, 3), 15, 84]-NRT-code) | [i] | OOA Folding | |