Information on Result #928277
Linear OOA(9121, 104, F9, 2, 71) (dual of [(104, 2), 87, 72]-NRT-code), using construction X applied to AG(2;F,74P) ⊂ AG(2;F,103P) based on
- linear OOA(988, 73, F9, 2, 71) (dual of [(73, 2), 58, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,74P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(959, 73, F9, 2, 42) (dual of [(73, 2), 87, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,103P) [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(9121, 52, F9, 3, 71) (dual of [(52, 3), 35, 72]-NRT-code) | [i] | OOA Folding | |