Information on Result #2180648
Linear OA(2160, 192, F2, 61) (dual of [192, 32, 62]-code), using strength reduction based on linear OA(2160, 192, F2, 63) (dual of [192, 32, 64]-code), using
- concatenation of two codes [i] based on
- linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-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 OA(2159, 191, F2, 60) (dual of [191, 32, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(2160, 64, F2, 3, 61) (dual of [(64, 3), 32, 62]-NRT-code) | [i] | OOA Folding | |