Information on Result #934500
Linear OOA(3256, 122, F32, 2, 42) (dual of [(122, 2), 188, 43]-NRT-code), using construction X applied to AG(2;F,195P) ⊂ AG(2;F,199P) based on
- linear OOA(3253, 119, F32, 2, 42) (dual of [(119, 2), 185, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,195P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OOA(3249, 119, F32, 2, 38) (dual of [(119, 2), 189, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,199P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OOA(323, 3, F32, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(323, 32, F32, 2, 3) (dual of [(32, 2), 61, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;61,32) [i]
- discarding factors / shortening the dual code based on linear OOA(323, 32, F32, 2, 3) (dual of [(32, 2), 61, 4]-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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | OOA(1670, 122, S16, 2, 42) | [i] | Discarding Parts of the Base for OOAs |