Information on Result #1032011
Linear OOA(493, 41, F4, 3, 61) (dual of [(41, 3), 30, 62]-NRT-code), using construction X applied to AG(3;F,25P) ⊂ AG(3;F,42P) based on
- linear OOA(474, 29, F4, 3, 61) (dual of [(29, 3), 13, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,25P) [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(457, 29, F4, 3, 44) (dual of [(29, 3), 30, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,42P) [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.