Information on Result #645032
Linear OA(1658, 79, F16, 45) (dual of [79, 21, 46]-code), using construction X applied to AG(F,18P) ⊂ AG(F,26P) 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(1643, 64, F16, 37) (dual of [64, 21, 38]-code), using algebraic-geometric code AG(F,26P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(167, 15, F16, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), 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(16123, 144, F16, 84) (dual of [144, 21, 85]-code) | [i] | Juxtaposition | |
| 2 | Linear OOA(1658, 39, F16, 2, 45) (dual of [(39, 2), 20, 46]-NRT-code) | [i] | OOA Folding | |