Information on Result #928275
Linear OOA(9122, 104, F9, 2, 72) (dual of [(104, 2), 86, 73]-NRT-code), using construction X applied to AG(2;F,73P) ⊂ AG(2;F,102P) based on
- 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, using
- linear OOA(960, 73, F9, 2, 43) (dual of [(73, 2), 86, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,102P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(933, 31, F9, 2, 28) (dual of [(31, 2), 29, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(933, 32, F9, 2, 28) (dual of [(32, 2), 31, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,35P) [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(933, 32, F9, 2, 28) (dual of [(32, 2), 31, 29]-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(9122, 52, F9, 3, 72) (dual of [(52, 3), 34, 73]-NRT-code) | [i] | OOA Folding | |