Information on Result #630183
Linear OA(2188, 224, F2, 71) (dual of [224, 36, 72]-code), using concatenation of two codes based on
- linear OA(1619, 28, F16, 17) (dual of [28, 9, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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(2188, 224, F2, 70) (dual of [224, 36, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2188, 224, F2, 69) (dual of [224, 36, 70]-code) | [i] | ||
| 3 | Linear OA(2188, 224, F2, 68) (dual of [224, 36, 69]-code) | [i] | ||
| 4 | Linear OA(2189, 225, F2, 71) (dual of [225, 36, 72]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2190, 226, F2, 71) (dual of [226, 36, 72]-code) | [i] | ||
| 6 | Linear OA(2191, 227, F2, 71) (dual of [227, 36, 72]-code) | [i] | ||
| 7 | Linear OA(2187, 223, F2, 70) (dual of [223, 36, 71]-code) | [i] | Truncation | |
| 8 | Linear OA(2186, 222, F2, 69) (dual of [222, 36, 70]-code) | [i] | ||
| 9 | Linear OA(2185, 221, F2, 68) (dual of [221, 36, 69]-code) | [i] | ||
| 10 | Linear OOA(2188, 112, F2, 2, 71) (dual of [(112, 2), 36, 72]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2188, 74, F2, 3, 71) (dual of [(74, 3), 34, 72]-NRT-code) | [i] | ||