Information on Result #1031969
Linear OOA(499, 40, F4, 3, 68) (dual of [(40, 3), 21, 69]-NRT-code), using construction X applied to AG(3;F,18P) ⊂ AG(3;F,34P) based on
- linear OOA(481, 29, F4, 3, 68) (dual of [(29, 3), 6, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,18P) [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(465, 29, F4, 3, 52) (dual of [(29, 3), 22, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,34P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30 (see above)
- linear OOA(418, 11, F4, 3, 15) (dual of [(11, 3), 15, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(418, 14, F4, 3, 15) (dual of [(14, 3), 24, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,26P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(418, 14, F4, 3, 15) (dual of [(14, 3), 24, 16]-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.