Information on Result #2622115
Linear OOA(3123, 53, F3, 3, 68) (dual of [(53, 3), 36, 69]-NRT-code), using strength reduction based on linear OOA(3123, 53, F3, 3, 69) (dual of [(53, 3), 36, 70]-NRT-code), using
- construction X applied to AG(3;F,71P) ⊂ AG(3;F,80P) [i] based on
- linear OOA(3114, 47, F3, 3, 69) (dual of [(47, 3), 27, 70]-NRT-code), using algebraic-geometric NRT-code AG(3;F,71P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3105, 47, F3, 3, 60) (dual of [(47, 3), 36, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,80P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(39, 6, F3, 3, 8) (dual of [(6, 3), 9, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(39, 7, F3, 3, 8) (dual of [(7, 3), 12, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(39, 7, F3, 3, 8) (dual of [(7, 3), 12, 9]-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.