Information on Result #659444
Linear OA(4246, 555, F4, 71) (dual of [555, 309, 72]-code), using trace code based on linear OA(6482, 185, F64, 71) (dual of [185, 103, 72]-code), using
- construction X applied to AG(F,104P) ⊂ AG(F,109P) [i] based on
- linear OA(6478, 176, F64, 71) (dual of [176, 98, 72]-code), using algebraic-geometric code AG(F,104P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6473, 176, F64, 66) (dual of [176, 103, 67]-code), using algebraic-geometric code AG(F,109P) [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(4247, 556, F4, 71) (dual of [556, 309, 72]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4248, 557, F4, 71) (dual of [557, 309, 72]-code) | [i] | ||
| 3 | Linear OOA(4246, 277, F4, 2, 71) (dual of [(277, 2), 308, 72]-NRT-code) | [i] | OOA Folding | |