Information on Result #642114
Linear OA(1677, 88, F16, 60) (dual of [88, 11, 61]-code), using juxtaposition based on
- linear OA(1612, 23, F16, 11) (dual of [23, 11, 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(1654, 65, F16, 48) (dual of [65, 11, 49]-code), using
- extended algebraic-geometric code AGe(F,16P) [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,16P) [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, 44, F16, 2, 60) (dual of [(44, 2), 11, 61]-NRT-code) | [i] | OOA Folding | |