Information on Result #918914
Linear OOA(449, 38, F4, 2, 27) (dual of [(38, 2), 27, 28]-NRT-code), using construction X applied to AG(2;F,30P) ⊂ AG(2;F,39P) based on
- linear OOA(440, 29, F4, 2, 27) (dual of [(29, 2), 18, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,30P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(431, 29, F4, 2, 18) (dual of [(29, 2), 27, 19]-NRT-code), using algebraic-geometric NRT-code AG(2;F,39P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30 (see above)
- linear OOA(49, 9, F4, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, 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.