Information on Result #629867
Linear OA(2187, 315, F2, 51) (dual of [315, 128, 52]-code), using concatenation of two codes based on
- linear OA(1631, 63, F16, 25) (dual of [63, 32, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(1631, 64, F16, 25) (dual of [64, 33, 26]-code), using
- algebraic-geometric code AG(F,38P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,38P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OA(1631, 64, F16, 25) (dual of [64, 33, 26]-code), using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(2186, 314, F2, 50) (dual of [314, 128, 51]-code) | [i] | Truncation | |
| 2 | Linear OOA(2187, 157, F2, 2, 51) (dual of [(157, 2), 127, 52]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2187, 105, F2, 3, 51) (dual of [(105, 3), 128, 52]-NRT-code) | [i] | ||