Information on Result #629877
Linear OA(2173, 225, F2, 57) (dual of [225, 52, 58]-code), using concatenation of two codes based on
- linear OA(1632, 45, F16, 28) (dual of [45, 13, 29]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2173, 225, F2, 56) (dual of [225, 52, 57]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2174, 226, F2, 57) (dual of [226, 52, 58]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2175, 227, F2, 57) (dual of [227, 52, 58]-code) | [i] | ||
| 4 | Linear OA(2176, 228, F2, 57) (dual of [228, 52, 58]-code) | [i] | ||
| 5 | Linear OA(2177, 229, F2, 57) (dual of [229, 52, 58]-code) | [i] | ||
| 6 | Linear OA(2172, 224, F2, 56) (dual of [224, 52, 57]-code) | [i] | Truncation | |
| 7 | Linear OOA(2173, 112, F2, 2, 57) (dual of [(112, 2), 51, 58]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2173, 75, F2, 3, 57) (dual of [(75, 3), 52, 58]-NRT-code) | [i] | ||