Information on Result #932050
Linear OOA(2581, 133, F25, 2, 63) (dual of [(133, 2), 185, 64]-NRT-code), using construction X applied to AG(2;F,186P) ⊂ AG(2;F,195P) based on
- linear OOA(2573, 125, F25, 2, 63) (dual of [(125, 2), 177, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,186P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OOA(2564, 125, F25, 2, 54) (dual of [(125, 2), 186, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,195P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(258, 8, F25, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(258, 25, F25, 2, 8) (dual of [(25, 2), 42, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;42,25) [i]
- discarding factors / shortening the dual code based on linear OOA(258, 25, F25, 2, 8) (dual of [(25, 2), 42, 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.