Information on Result #1041225
Linear OOA(8161, 75, F8, 3, 130) (dual of [(75, 3), 64, 131]-NRT-code), using construction X applied to AG(3;F,61P) ⊂ AG(3;F,78P) based on
- linear OOA(8144, 64, F8, 3, 130) (dual of [(64, 3), 48, 131]-NRT-code), using algebraic-geometric NRT-code AG(3;F,61P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(8127, 64, F8, 3, 113) (dual of [(64, 3), 65, 114]-NRT-code), using algebraic-geometric NRT-code AG(3;F,78P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(817, 11, F8, 3, 16) (dual of [(11, 3), 16, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(817, 14, F8, 3, 16) (dual of [(14, 3), 25, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,25P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(817, 14, F8, 3, 16) (dual of [(14, 3), 25, 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.