Information on Result #1040360
Linear OOA(8157, 68, F8, 3, 137) (dual of [(68, 3), 47, 138]-NRT-code), using construction X applied to AG(3;F,54P) ⊂ AG(3;F,61P) based on
- linear OOA(8151, 64, F8, 3, 137) (dual of [(64, 3), 41, 138]-NRT-code), using algebraic-geometric NRT-code AG(3;F,54P) [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(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 (see above)
- linear OOA(86, 4, F8, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;18,8) [i]
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 7]-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.