Information on Result #1029838
Linear OOA(2207, 124, F2, 3, 63) (dual of [(124, 3), 165, 64]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(838, 31, F8, 3, 31) (dual of [(31, 3), 55, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(838, 34, F8, 3, 31) (dual of [(34, 3), 64, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,70P) [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- discarding factors / shortening the dual code based on linear OOA(838, 34, F8, 3, 31) (dual of [(34, 3), 64, 32]-NRT-code), using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 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(2207, 124, F2, 3, 62) (dual of [(124, 3), 165, 63]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2208, 124, F2, 3, 63) (dual of [(124, 3), 164, 64]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2209, 124, F2, 3, 63) (dual of [(124, 3), 163, 64]-NRT-code) | [i] | ||
| 4 | Linear OOA(2206, 123, F2, 3, 62) (dual of [(123, 3), 163, 63]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2207, 62, F2, 5, 63) (dual of [(62, 5), 103, 64]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2207, 62, F2, 6, 63) (dual of [(62, 6), 165, 64]-NRT-code) | [i] | ||