Information on Result #1288588
Linear OA(2158, 318, F2, 39) (dual of [318, 160, 40]-code), using concatenation of two codes based on
- linear OA(3221, 53, F32, 19) (dual of [53, 32, 20]-code), using
- extended algebraic-geometric code AGe(F,33P) [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(2158, 318, F2, 38) (dual of [318, 160, 39]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2159, 319, F2, 39) (dual of [319, 160, 40]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2157, 317, F2, 38) (dual of [317, 160, 39]-code) | [i] | Truncation | |