Information on Result #2778300
Linear OOA(8170, 377, F81, 4, 37) (dual of [(377, 4), 1438, 38]-NRT-code), using strength reduction based on linear OOA(8170, 377, F81, 4, 38) (dual of [(377, 4), 1438, 39]-NRT-code), using
- construction X applied to AG(4;F,1437P) ⊂ AG(4;F,1454P) [i] based on
- linear OOA(8154, 369, F81, 4, 38) (dual of [(369, 4), 1422, 39]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1437P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8137, 369, F81, 4, 21) (dual of [(369, 4), 1439, 22]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1454P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8116, 8, F81, 4, 16) (dual of [(8, 4), 16, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8116, 81, F81, 4, 16) (dual of [(81, 4), 308, 17]-NRT-code), using
- Reed–Solomon NRT-code RS(4;308,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8116, 81, F81, 4, 16) (dual of [(81, 4), 308, 17]-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.