Information on Result #641977
Linear OA(1689, 106, F16, 63) (dual of [106, 17, 64]-code), using juxtaposition based on
- linear OA(1624, 41, F16, 20) (dual of [41, 17, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1624, 45, F16, 20) (dual of [45, 21, 21]-code), using
- extended algebraic-geometric code AGe(F,24P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1624, 45, F16, 20) (dual of [45, 21, 21]-code), using
- linear OA(1648, 65, F16, 42) (dual of [65, 17, 43]-code), using
- extended algebraic-geometric code AGe(F,22P) [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,22P) [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(1689, 53, F16, 2, 63) (dual of [(53, 2), 17, 64]-NRT-code) | [i] | OOA Folding | |