Information on Result #922547
Linear OOA(8132, 75, F8, 2, 107) (dual of [(75, 2), 18, 108]-NRT-code), using construction X applied to AG(2;F,20P) ⊂ AG(2;F,31P) based on
- linear OOA(8121, 64, F8, 2, 107) (dual of [(64, 2), 7, 108]-NRT-code), using algebraic-geometric NRT-code AG(2;F,20P) [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(8110, 64, F8, 2, 96) (dual of [(64, 2), 18, 97]-NRT-code), using algebraic-geometric NRT-code AG(2;F,31P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(811, 11, F8, 2, 10) (dual of [(11, 2), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [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(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-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.