Information on Result #645286
Linear OA(1688, 105, F16, 63) (dual of [105, 17, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,22P) 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(1647, 64, F16, 41) (dual of [64, 17, 42]-code), using algebraic-geometric code AG(F,22P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1625, 41, F16, 21) (dual of [41, 16, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1625, 45, F16, 21) (dual of [45, 20, 22]-code), using
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1625, 45, F16, 21) (dual of [45, 20, 22]-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(1687, 104, F16, 62) (dual of [104, 17, 63]-code) | [i] | Truncation | |