Information on Result #642370
Linear OA(1686, 90, F16, 76) (dual of [90, 4, 77]-code), using juxtaposition based on
- linear OA(1622, 26, F16, 20) (dual of [26, 4, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1622, 33, F16, 20) (dual of [33, 11, 21]-code), using
- extended algebraic-geometric code AGe(F,12P) [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(1622, 33, F16, 20) (dual of [33, 11, 21]-code), using
- 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, using the Hermitian function field over F16 [i]
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(1686, 45, F16, 2, 76) (dual of [(45, 2), 4, 77]-NRT-code) | [i] | OOA Folding | |