Information on Result #928024
Linear OOA(9123, 98, F9, 2, 80) (dual of [(98, 2), 73, 81]-NRT-code), using construction X applied to AG(2;F,65P) ⊂ AG(2;F,89P) based on
- linear OOA(997, 73, F9, 2, 80) (dual of [(73, 2), 49, 81]-NRT-code), using algebraic-geometric NRT-code AG(2;F,65P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(973, 73, F9, 2, 56) (dual of [(73, 2), 73, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,89P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(926, 25, F9, 2, 23) (dual of [(25, 2), 24, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(926, 28, F9, 2, 23) (dual of [(28, 2), 30, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,32P) [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,32P) [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(926, 28, F9, 2, 23) (dual of [(28, 2), 30, 24]-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(9123, 49, F9, 3, 80) (dual of [(49, 3), 24, 81]-NRT-code) | [i] | OOA Folding | |