Information on Result #658630
Linear OA(1664, 76, F16, 53) (dual of [76, 12, 54]-code), using construction X applied to AG(F,10P) ⊂ AG(F,17P) based on
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using algebraic-geometric code AG(F,10P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OA(1652, 64, F16, 46) (dual of [64, 12, 47]-code), using algebraic-geometric code AG(F,17P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(166, 12, F16, 6) (dual of [12, 6, 7]-code or 12-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), 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(16128, 140, F16, 100) (dual of [140, 12, 101]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(16129, 141, F16, 101) (dual of [141, 12, 102]-code) | [i] | ||
| 3 | Linear OOA(1664, 38, F16, 2, 53) (dual of [(38, 2), 12, 54]-NRT-code) | [i] | OOA Folding | |