Information on Result #654092
Linear OA(6463, 201, F64, 44) (dual of [201, 138, 45]-code), using construction X applied to AG(F,131P) ⊂ AG(F,144P) based on
- linear OA(6451, 176, F64, 44) (dual of [176, 125, 45]-code), using algebraic-geometric code AG(F,131P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6438, 176, F64, 31) (dual of [176, 138, 32]-code), using algebraic-geometric code AG(F,144P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(6412, 25, F64, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,64)), using
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
- Reed–Solomon code RS(52,64) [i]
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), 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 | OA(3276, 201, S32, 44) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6463, 100, F64, 2, 44) (dual of [(100, 2), 137, 45]-NRT-code) | [i] | OOA Folding | |