Information on Result #629865
Linear OA(2189, 325, F2, 51) (dual of [325, 136, 52]-code), using concatenation of two codes based on
- linear OA(1631, 65, F16, 25) (dual of [65, 34, 26]-code), using
- extended algebraic-geometric code AGe(F,39P) [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,39P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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(2189, 325, F2, 50) (dual of [325, 136, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2190, 326, F2, 51) (dual of [326, 136, 52]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2191, 327, F2, 51) (dual of [327, 136, 52]-code) | [i] | ||
| 4 | Linear OA(2192, 328, F2, 51) (dual of [328, 136, 52]-code) | [i] | ||
| 5 | Linear OA(2193, 329, F2, 51) (dual of [329, 136, 52]-code) | [i] | ||
| 6 | Linear OA(2194, 330, F2, 51) (dual of [330, 136, 52]-code) | [i] | ||
| 7 | Linear OA(2188, 324, F2, 50) (dual of [324, 136, 51]-code) | [i] | Truncation | |
| 8 | Linear OOA(2189, 162, F2, 2, 51) (dual of [(162, 2), 135, 52]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2189, 108, F2, 3, 51) (dual of [(108, 3), 135, 52]-NRT-code) | [i] | ||