Information on Result #2671294
Linear OOA(2253, 214, F2, 3, 59) (dual of [(214, 3), 389, 60]-NRT-code), using 21 times duplication based on linear OOA(2252, 214, F2, 3, 59) (dual of [(214, 3), 390, 60]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2249, 213, F2, 3, 59) (dual of [(213, 3), 390, 60]-NRT-code), using
- trace code [i] based on linear OOA(883, 71, F8, 3, 59) (dual of [(71, 3), 130, 60]-NRT-code), using
- construction X applied to AG(3;F,132P) ⊂ AG(3;F,143P) [i] based on
- linear OOA(873, 64, F8, 3, 59) (dual of [(64, 3), 119, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,132P) [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(862, 64, F8, 3, 48) (dual of [(64, 3), 130, 49]-NRT-code), using algebraic-geometric NRT-code AG(3;F,143P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(810, 7, F8, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, 8, F8, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;14,8) [i]
- discarding factors / shortening the dual code based on linear OOA(810, 8, F8, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
- linear OOA(873, 64, F8, 3, 59) (dual of [(64, 3), 119, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,132P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- construction X applied to AG(3;F,132P) ⊂ AG(3;F,143P) [i] based on
- trace code [i] based on linear OOA(883, 71, F8, 3, 59) (dual of [(71, 3), 130, 60]-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.