Information on Result #2778182
Linear OOA(8163, 372, F81, 4, 40) (dual of [(372, 4), 1425, 41]-NRT-code), using strength reduction based on linear OOA(8163, 372, F81, 4, 41) (dual of [(372, 4), 1425, 42]-NRT-code), using
- construction X applied to AG(4;F,1434P) ⊂ AG(4;F,1441P) [i] based on
- linear OOA(8157, 369, F81, 4, 41) (dual of [(369, 4), 1419, 42]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1434P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8150, 369, F81, 4, 34) (dual of [(369, 4), 1426, 35]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1441P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(816, 3, F81, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 4, 6) (dual of [(81, 4), 318, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(4;318,81) [i]
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 4, 6) (dual of [(81, 4), 318, 7]-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.