Information on Result #1045669
Linear OOA(9138, 98, F9, 3, 83) (dual of [(98, 3), 156, 84]-NRT-code), using construction X applied to AG(3;F,147P) ⊂ AG(3;F,178P) based on
- linear OOA(9105, 77, F9, 3, 83) (dual of [(77, 3), 126, 84]-NRT-code), using algebraic-geometric NRT-code AG(3;F,147P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(974, 77, F9, 3, 52) (dual of [(77, 3), 157, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,178P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(933, 21, F9, 3, 30) (dual of [(21, 3), 30, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(933, 28, F9, 3, 30) (dual of [(28, 3), 51, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,53P) [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(3;F,53P) [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(933, 28, F9, 3, 30) (dual of [(28, 3), 51, 31]-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
None.