Information on Result #1029627
Linear OOA(2226, 96, F2, 3, 101) (dual of [(96, 3), 62, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(465, 32, F4, 3, 50) (dual of [(32, 3), 31, 51]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,45P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2226, 96, F2, 3, 100) (dual of [(96, 3), 62, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2227, 96, F2, 3, 101) (dual of [(96, 3), 61, 102]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2225, 95, F2, 3, 100) (dual of [(95, 3), 60, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2226, 48, F2, 6, 101) (dual of [(48, 6), 62, 102]-NRT-code) | [i] | OOA Folding | |