Information on Result #645123
Linear OA(1681, 93, F16, 63) (dual of [93, 12, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,17P) based on
- linear OA(1663, 64, F16, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) [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(1618, 29, F16, 16) (dual of [29, 11, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), 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(1680, 92, F16, 62) (dual of [92, 12, 63]-code) | [i] | Truncation | |
| 2 | Linear OA(1679, 91, F16, 61) (dual of [91, 12, 62]-code) | [i] | ||
| 3 | Linear OA(1678, 90, F16, 60) (dual of [90, 12, 61]-code) | [i] | ||