Information on Result #630134
Linear OA(2144, 184, F2, 51) (dual of [184, 40, 52]-code), using concatenation of two codes based on
- linear OA(1613, 23, F16, 12) (dual of [23, 10, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(1613, 24, F16, 12) (dual of [24, 11, 13]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1613, 24, F16, 12) (dual of [24, 11, 13]-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(2144, 184, F2, 50) (dual of [184, 40, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2144, 184, F2, 49) (dual of [184, 40, 50]-code) | [i] | ||
| 3 | Linear OA(2144, 184, F2, 48) (dual of [184, 40, 49]-code) | [i] | ||
| 4 | Linear OA(2145, 185, F2, 51) (dual of [185, 40, 52]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2146, 186, F2, 51) (dual of [186, 40, 52]-code) | [i] | ||
| 6 | Linear OA(2147, 187, F2, 51) (dual of [187, 40, 52]-code) | [i] | ||
| 7 | Linear OA(2143, 183, F2, 50) (dual of [183, 40, 51]-code) | [i] | Truncation | |
| 8 | Linear OA(2142, 182, F2, 49) (dual of [182, 40, 50]-code) | [i] | ||
| 9 | Linear OA(2141, 181, F2, 48) (dual of [181, 40, 49]-code) | [i] | ||
| 10 | Linear OOA(2144, 92, F2, 2, 51) (dual of [(92, 2), 40, 52]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2144, 61, F2, 3, 51) (dual of [(61, 3), 39, 52]-NRT-code) | [i] | ||