Information on Result #630128
Linear OA(2140, 184, F2, 47) (dual of [184, 44, 48]-code), using concatenation of two codes based on
- linear OA(1612, 23, F16, 11) (dual of [23, 11, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1612, 24, F16, 11) (dual of [24, 12, 12]-code), using
- extended algebraic-geometric code AGe(F,12P) [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(1612, 24, F16, 11) (dual of [24, 12, 12]-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(2140, 184, F2, 46) (dual of [184, 44, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2139, 183, F2, 46) (dual of [183, 44, 47]-code) | [i] | Truncation | |
| 3 | Linear OOA(2140, 92, F2, 2, 47) (dual of [(92, 2), 44, 48]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2140, 61, F2, 3, 47) (dual of [(61, 3), 43, 48]-NRT-code) | [i] | ||