Information on Result #1288599
Linear OA(2178, 318, F2, 47) (dual of [318, 140, 48]-code), using concatenation of two codes based on
- linear OA(3225, 53, F32, 23) (dual of [53, 28, 24]-code), using
- extended algebraic-geometric code AGe(F,29P) [i] based on function field F/F32 with g(F) = 2 and N(F) ≥ 53, using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 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: 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(2178, 318, F2, 46) (dual of [318, 140, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2179, 319, F2, 47) (dual of [319, 140, 48]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2177, 317, F2, 46) (dual of [317, 140, 47]-code) | [i] | Truncation | |