Information on Result #2525445
OOA(8145, 586, S8, 2, 46), using 81 times duplication based on OOA(8144, 586, S8, 2, 46), using
- 2 times NRT-code embedding in larger space [i] based on OOA(8140, 584, S8, 2, 46), using
- trace code [i] based on OOA(6470, 292, S64, 2, 46), using
- discarding parts of the base [i] based on linear OOA(12860, 292, F128, 2, 46) (dual of [(292, 2), 524, 47]-NRT-code), using
- construction X applied to AG(2;F,527P) ⊂ AG(2;F,533P) [i] based on
- linear OOA(12855, 287, F128, 2, 46) (dual of [(287, 2), 519, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,527P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12849, 287, F128, 2, 40) (dual of [(287, 2), 525, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,533P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1285, 5, F128, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;251,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-NRT-code), using
- construction X applied to AG(2;F,527P) ⊂ AG(2;F,533P) [i] based on
- discarding parts of the base [i] based on linear OOA(12860, 292, F128, 2, 46) (dual of [(292, 2), 524, 47]-NRT-code), using
- trace code [i] based on OOA(6470, 292, S64, 2, 46), using
Mode: Constructive.
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.