Information on Result #644903
Linear OA(1655, 73, F16, 45) (dual of [73, 18, 46]-code), using construction X applied to AG(F,18P) ⊂ AG(F,23P) based on
- linear OA(1651, 64, F16, 45) (dual of [64, 13, 46]-code), using algebraic-geometric code AG(F,18P) [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(1646, 64, F16, 40) (dual of [64, 18, 41]-code), using algebraic-geometric code AG(F,23P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(164, 9, F16, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), 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, 146, F16, 91) (dual of [146, 18, 92]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OOA(1655, 36, F16, 2, 45) (dual of [(36, 2), 17, 46]-NRT-code) | [i] | OOA Folding | |