Information on Result #630354
Linear OA(2204, 384, F2, 51) (dual of [384, 180, 52]-code), using concatenation of two codes based on
- linear OA(3228, 64, F32, 25) (dual of [64, 36, 26]-code), using
- extended algebraic-geometric code AGe(F,38P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, 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: 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(2204, 384, F2, 50) (dual of [384, 180, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2205, 385, F2, 51) (dual of [385, 180, 52]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2203, 383, F2, 50) (dual of [383, 180, 51]-code) | [i] | Truncation | |
| 4 | Linear OOA(2204, 192, F2, 2, 51) (dual of [(192, 2), 180, 52]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2204, 128, F2, 3, 51) (dual of [(128, 3), 180, 52]-NRT-code) | [i] | ||