Information on Result #934578
Linear OOA(3282, 123, F32, 2, 67) (dual of [(123, 2), 164, 68]-NRT-code), using construction X applied to AG(2;F,170P) ⊂ AG(2;F,175P) based on
- linear OOA(3278, 119, F32, 2, 67) (dual of [(119, 2), 160, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,170P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OOA(3273, 119, F32, 2, 62) (dual of [(119, 2), 165, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,175P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OOA(324, 4, F32, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(324, 32, F32, 2, 4) (dual of [(32, 2), 60, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;60,32) [i]
- discarding factors / shortening the dual code based on linear OOA(324, 32, F32, 2, 4) (dual of [(32, 2), 60, 5]-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(16103, 123, S16, 2, 67) | [i] | Discarding Parts of the Base for OOAs | |