Information on Result #1032014
Linear OOA(490, 41, F4, 3, 58) (dual of [(41, 3), 33, 59]-NRT-code), using construction X applied to AG(3;F,28P) ⊂ AG(3;F,45P) based on
- linear OOA(471, 29, F4, 3, 58) (dual of [(29, 3), 16, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,28P) [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(454, 29, F4, 3, 41) (dual of [(29, 3), 33, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,45P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30 (see above)
- linear OOA(419, 12, F4, 3, 16) (dual of [(12, 3), 17, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(419, 14, F4, 3, 16) (dual of [(14, 3), 23, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,25P) [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(419, 14, F4, 3, 16) (dual of [(14, 3), 23, 17]-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.