Information on Result #2709507
OOA(8129, 583, S8, 3, 39), using 1 times NRT-code embedding in larger space based on OOA(8126, 582, S8, 3, 39), using
- trace code [i] based on OOA(6463, 291, S64, 3, 39), using
- discarding parts of the base [i] based on linear OOA(12854, 291, F128, 3, 39) (dual of [(291, 3), 819, 40]-NRT-code), using
- construction X applied to AG(3;F,821P) ⊂ AG(3;F,828P) [i] based on
- linear OOA(12848, 287, F128, 3, 39) (dual of [(287, 3), 813, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,821P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12841, 287, F128, 3, 32) (dual of [(287, 3), 820, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,828P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1286, 4, F128, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 3, 6) (dual of [(128, 3), 378, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;378,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 3, 6) (dual of [(128, 3), 378, 7]-NRT-code), using
- construction X applied to AG(3;F,821P) ⊂ AG(3;F,828P) [i] based on
- discarding parts of the base [i] based on linear OOA(12854, 291, F128, 3, 39) (dual of [(291, 3), 819, 40]-NRT-code), 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.