Information on Result #2778383
Linear OOA(8175, 373, F81, 4, 50) (dual of [(373, 4), 1417, 51]-NRT-code), using strength reduction based on linear OOA(8175, 373, F81, 4, 51) (dual of [(373, 4), 1417, 52]-NRT-code), using
- construction X applied to AG(4;F,1424P) ⊂ AG(4;F,1433P) [i] based on
- linear OOA(8167, 369, F81, 4, 51) (dual of [(369, 4), 1409, 52]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1424P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8158, 369, F81, 4, 42) (dual of [(369, 4), 1418, 43]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1433P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(818, 4, F81, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(818, 81, F81, 4, 8) (dual of [(81, 4), 316, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(4;316,81) [i]
- discarding factors / shortening the dual code based on linear OOA(818, 81, F81, 4, 8) (dual of [(81, 4), 316, 9]-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.