Information on Result #642236
Linear OA(1677, 84, F16, 64) (dual of [84, 7, 65]-code), using juxtaposition based on
- linear OA(1612, 19, F16, 11) (dual of [19, 7, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1612, 24, F16, 11) (dual of [24, 12, 12]-code), using
- extended algebraic-geometric code AGe(F,12P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1612, 24, F16, 11) (dual of [24, 12, 12]-code), using
- linear OA(1658, 65, F16, 52) (dual of [65, 7, 53]-code), using
- extended algebraic-geometric code AGe(F,12P) [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,12P) [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(1677, 42, F16, 2, 64) (dual of [(42, 2), 7, 65]-NRT-code) | [i] | OOA Folding | |