Information on Result #1088089
Linear OOA(2225, 69, F2, 4, 107) (dual of [(69, 4), 51, 108]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(829, 23, F8, 2, 26) (dual of [(23, 2), 17, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(829, 24, F8, 2, 26) (dual of [(24, 2), 19, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,21P) [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 NRT-code AGe(2;F,21P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(829, 24, F8, 2, 26) (dual of [(24, 2), 19, 27]-NRT-code), 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]
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(2225, 69, F2, 4, 106) (dual of [(69, 4), 51, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2225, 69, F2, 4, 105) (dual of [(69, 4), 51, 106]-NRT-code) | [i] | ||
| 3 | Linear OOA(2225, 69, F2, 4, 104) (dual of [(69, 4), 51, 105]-NRT-code) | [i] | ||
| 4 | Linear OOA(2224, 68, F2, 4, 106) (dual of [(68, 4), 48, 107]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2223, 68, F2, 4, 105) (dual of [(68, 4), 49, 106]-NRT-code) | [i] | ||