Information on Result #2649600
Linear OOA(8152, 174, F81, 3, 40) (dual of [(174, 3), 470, 41]-NRT-code), using strength reduction based on linear OOA(8152, 174, F81, 3, 41) (dual of [(174, 3), 470, 42]-NRT-code), using
- construction X applied to AG(3;F,471P) ⊂ AG(3;F,476P) [i] based on
- linear OOA(8148, 171, F81, 3, 41) (dual of [(171, 3), 465, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,471P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8143, 171, F81, 3, 36) (dual of [(171, 3), 470, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,476P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OOA(814, 3, F81, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 3, 4) (dual of [(81, 3), 239, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;239,81) [i]
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 3, 4) (dual of [(81, 3), 239, 5]-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.