Information on Result #661771
Linear OA(1696, 100, F16, 86) (dual of [100, 4, 87]-code), using juxtaposition based on
- linear OA(1629, 33, F16, 27) (dual of [33, 4, 28]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(1663, 67, F16, 58) (dual of [67, 4, 59]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,8P) [i] based on
- linear OA(1661, 64, F16, 58) (dual of [64, 3, 59]-code), using algebraic-geometric code AG(F,5P) 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(1660, 64, F16, 55) (dual of [64, 4, 56]-code), using algebraic-geometric code AG(F,8P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using
- dual of repetition code with length 3 [i]
- construction X applied to AG(F,5P) ⊂ AG(F,8P) [i] based on
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 OOA(1696, 50, F16, 2, 86) (dual of [(50, 2), 4, 87]-NRT-code) | [i] | OOA Folding | |