Information on Result #2671373
Linear OOA(2248, 208, F2, 3, 60) (dual of [(208, 3), 376, 61]-NRT-code), using 22 times duplication based on linear OOA(2246, 208, F2, 3, 60) (dual of [(208, 3), 378, 61]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2243, 207, F2, 3, 60) (dual of [(207, 3), 378, 61]-NRT-code), using
- trace code [i] based on linear OOA(881, 69, F8, 3, 60) (dual of [(69, 3), 126, 61]-NRT-code), using
- construction X applied to AG(3;F,131P) ⊂ AG(3;F,139P) [i] based on
- linear OOA(874, 64, F8, 3, 60) (dual of [(64, 3), 118, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,131P) [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(866, 64, F8, 3, 52) (dual of [(64, 3), 126, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,139P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(87, 5, F8, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;17,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- linear OOA(874, 64, F8, 3, 60) (dual of [(64, 3), 118, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,131P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- construction X applied to AG(3;F,131P) ⊂ AG(3;F,139P) [i] based on
- trace code [i] based on linear OOA(881, 69, F8, 3, 60) (dual of [(69, 3), 126, 61]-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.