Information on Result #653653
Linear OA(6462, 185, F64, 51) (dual of [185, 123, 52]-code), using construction X applied to AG(F,124P) ⊂ AG(F,129P) based on
- linear OA(6458, 176, F64, 51) (dual of [176, 118, 52]-code), using algebraic-geometric code AG(F,124P) [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(644, 9, F64, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), 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(4186, 555, F4, 51) (dual of [555, 369, 52]-code) | [i] | Trace Code | |
| 2 | Linear OA(8124, 370, F8, 51) (dual of [370, 246, 52]-code) | [i] | ||
| 3 | OA(3275, 185, S32, 51) | [i] | Discarding Parts of the Base for OAs | |
| 4 | Linear OOA(6462, 92, F64, 2, 51) (dual of [(92, 2), 122, 52]-NRT-code) | [i] | OOA Folding | |