Information on Result #2260742
Linear OA(2146, 186, F2, 51) (dual of [186, 40, 52]-code), using 2 times code embedding in larger space based on linear OA(2144, 184, F2, 51) (dual of [184, 40, 52]-code), using
- concatenation of two codes [i] 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
- linear OA(1613, 23, F16, 12) (dual of [23, 10, 13]-code), 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 OOA(2146, 62, F2, 3, 51) (dual of [(62, 3), 40, 52]-NRT-code) | [i] | OOA Folding | |