Information on Result #1029586
Linear OOA(2198, 78, F2, 3, 101) (dual of [(78, 3), 36, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(460, 26, F4, 3, 50) (dual of [(26, 3), 18, 51]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,27P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, 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(2198, 78, F2, 3, 100) (dual of [(78, 3), 36, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2198, 78, F2, 3, 99) (dual of [(78, 3), 36, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(2199, 78, F2, 3, 101) (dual of [(78, 3), 35, 102]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2197, 77, F2, 3, 100) (dual of [(77, 3), 34, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2198, 39, F2, 6, 101) (dual of [(39, 6), 36, 102]-NRT-code) | [i] | OOA Folding | |