Information on Result #642054
Linear OA(1698, 112, F16, 74) (dual of [112, 14, 75]-code), using juxtaposition based on
- linear OA(1633, 47, F16, 28) (dual of [47, 14, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(1633, 49, F16, 28) (dual of [49, 16, 29]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- discarding factors / shortening the dual code based on linear OA(1633, 49, F16, 28) (dual of [49, 16, 29]-code), using
- linear OA(1651, 65, F16, 45) (dual of [65, 14, 46]-code), using
- extended algebraic-geometric code AGe(F,19P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,19P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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 OOA(1698, 56, F16, 2, 74) (dual of [(56, 2), 14, 75]-NRT-code) | [i] | OOA Folding | |