Information on Result #894722
Linear OOA(2148, 78, F2, 2, 77) (dual of [(78, 2), 8, 78]-NRT-code), using (u, u+v)-construction based on
- linear OOA(271, 39, F2, 2, 38) (dual of [(39, 2), 7, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(271, 41, F2, 2, 38) (dual of [(41, 2), 11, 39]-NRT-code), using
- 1 step truncation [i] based on linear OOA(272, 42, F2, 2, 39) (dual of [(42, 2), 12, 40]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(810, 14, F8, 9) (dual of [14, 4, 10]-code), using
- extended algebraic-geometric code AGe(F,4P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
- linear OA(810, 14, F8, 9) (dual of [14, 4, 10]-code), using
- concatenation of two NRT-codes [i] based on
- 1 step truncation [i] based on linear OOA(272, 42, F2, 2, 39) (dual of [(42, 2), 12, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(271, 41, F2, 2, 38) (dual of [(41, 2), 11, 39]-NRT-code), using
- linear OOA(277, 39, F2, 2, 77) (dual of [(39, 2), 1, 78]-NRT-code), using
- dual of repetition NRT-code with length 39 [i]
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 OOA(2220, 114, F2, 2, 113) (dual of [(114, 2), 8, 114]-NRT-code) | [i] | Juxtaposition for OOAs | |