Information on Result #653714
Linear OA(6464, 187, F64, 52) (dual of [187, 123, 53]-code), using construction X applied to AG(F,123P) ⊂ AG(F,129P) based on
- linear OA(6459, 176, F64, 52) (dual of [176, 117, 53]-code), using algebraic-geometric code AG(F,123P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6453, 176, F64, 46) (dual of [176, 123, 47]-code), using algebraic-geometric code AG(F,129P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(645, 11, F64, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), 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 | Linear OA(4192, 561, F4, 52) (dual of [561, 369, 53]-code) | [i] | Trace Code | |
| 2 | Linear OA(8128, 374, F8, 52) (dual of [374, 246, 53]-code) | [i] | ||
| 3 | OA(3277, 187, S32, 52) | [i] | Discarding Parts of the Base for OAs | |
| 4 | Linear OOA(6464, 93, F64, 2, 52) (dual of [(93, 2), 122, 53]-NRT-code) | [i] | OOA Folding | |