Information on Result #1088100
Linear OOA(2200, 69, F2, 4, 80) (dual of [(69, 4), 76, 81]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1627, 23, F16, 2, 26) (dual of [(23, 2), 19, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1627, 24, F16, 2, 26) (dual of [(24, 2), 21, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,21P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(1627, 24, F16, 2, 26) (dual of [(24, 2), 21, 27]-NRT-code), using
- linear OOA(22, 3, F2, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,2) [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(2200, 69, F2, 4, 79) (dual of [(69, 4), 76, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2200, 69, F2, 4, 78) (dual of [(69, 4), 76, 79]-NRT-code) | [i] | ||
| 3 | Linear OOA(2201, 69, F2, 4, 80) (dual of [(69, 4), 75, 81]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2203, 69, F2, 4, 80) (dual of [(69, 4), 73, 81]-NRT-code) | [i] | ||
| 5 | Linear OOA(2199, 68, F2, 4, 79) (dual of [(68, 4), 73, 80]-NRT-code) | [i] | Truncation for OOAs | |