Information on Result #927782
Linear OOA(997, 94, F9, 2, 58) (dual of [(94, 2), 91, 59]-NRT-code), using construction X applied to AG(2;F,87P) ⊂ AG(2;F,107P) 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(955, 73, F9, 2, 38) (dual of [(73, 2), 91, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,107P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(922, 21, F9, 2, 19) (dual of [(21, 2), 20, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(922, 28, F9, 2, 19) (dual of [(28, 2), 34, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,36P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,36P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(922, 28, F9, 2, 19) (dual of [(28, 2), 34, 20]-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(997, 47, F9, 3, 58) (dual of [(47, 3), 44, 59]-NRT-code) | [i] | OOA Folding | |