Information on Result #2455946
Linear OOA(271, 41, F2, 2, 38) (dual of [(41, 2), 11, 39]-NRT-code), using 1 step truncation 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
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(2148, 78, F2, 2, 76) (dual of [(78, 2), 8, 77]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2148, 78, F2, 2, 77) (dual of [(78, 2), 8, 78]-NRT-code) | [i] | ||
| 3 | Linear OOA(2141, 74, F2, 2, 74) (dual of [(74, 2), 7, 75]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 4 | Linear OOA(271, 20, F2, 4, 38) (dual of [(20, 4), 9, 39]-NRT-code) | [i] | OOA Folding | |