Information on Result #2226240
Linear OA(2226, 278, F2, 77) (dual of [278, 52, 78]-code), using 2 times truncation based on linear OA(2228, 280, F2, 79) (dual of [280, 52, 80]-code), using
- concatenation of two codes [i] based on
- linear OA(1622, 35, F16, 19) (dual of [35, 13, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1622, 38, F16, 19) (dual of [38, 16, 20]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(1622, 38, F16, 19) (dual of [38, 16, 20]-code), using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1622, 35, F16, 19) (dual of [35, 13, 20]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2229, 281, F2, 77) (dual of [281, 52, 78]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(2226, 139, F2, 2, 77) (dual of [(139, 2), 52, 78]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2226, 92, F2, 3, 77) (dual of [(92, 3), 50, 78]-NRT-code) | [i] | ||