Information on Result #652551
Linear OA(3278, 152, F32, 51) (dual of [152, 74, 52]-code), using construction X applied to AG(F,67P) ⊂ AG(F,84P) based on
- linear OA(3262, 119, F32, 51) (dual of [119, 57, 52]-code), using algebraic-geometric code AG(F,67P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3245, 119, F32, 34) (dual of [119, 74, 35]-code), using algebraic-geometric code AG(F,84P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3216, 33, F32, 16) (dual of [33, 17, 17]-code or 33-arc in PG(15,32)), using
- extended Reed–Solomon code RSe(17,32) [i]
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 | Linear OA(3279, 153, F32, 51) (dual of [153, 74, 52]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3278, 76, F32, 2, 51) (dual of [(76, 2), 74, 52]-NRT-code) | [i] | OOA Folding | |