Information on Result #1046458
Linear OOA(6488, 518, F64, 3, 51) (dual of [(518, 3), 1466, 52]-NRT-code), using construction X applied to AG(3;F,1484P) ⊂ AG(3;F,1494P) based on
- linear OOA(6479, 512, F64, 3, 51) (dual of [(512, 3), 1457, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1484P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- linear OOA(6469, 512, F64, 3, 41) (dual of [(512, 3), 1467, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1494P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(649, 6, F64, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(649, 64, F64, 3, 9) (dual of [(64, 3), 183, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;183,64) [i]
- discarding factors / shortening the dual code based on linear OOA(649, 64, F64, 3, 9) (dual of [(64, 3), 183, 10]-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.