Information on Result #629484
Linear OA(263, 96, F2, 21) (dual of [96, 33, 22]-code), using concatenation of two codes based on
- linear OA(813, 24, F8, 10) (dual of [24, 11, 11]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(262, 95, F2, 20) (dual of [95, 33, 21]-code) | [i] | Truncation | |
| 2 | Linear OOA(263, 48, F2, 2, 21) (dual of [(48, 2), 33, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(263, 32, F2, 3, 21) (dual of [(32, 3), 33, 22]-NRT-code) | [i] | ||