Information on Result #1029412
Linear OOA(2150, 66, F2, 3, 67) (dual of [(66, 3), 48, 68]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(442, 22, F4, 3, 33) (dual of [(22, 3), 24, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F4 with g(F) = 9 and N(F) ≥ 22, 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(2150, 66, F2, 3, 66) (dual of [(66, 3), 48, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2150, 66, F2, 3, 65) (dual of [(66, 3), 48, 66]-NRT-code) | [i] | ||
| 3 | Linear OOA(2150, 66, F2, 3, 64) (dual of [(66, 3), 48, 65]-NRT-code) | [i] | ||
| 4 | Linear OOA(2153, 67, F2, 3, 67) (dual of [(67, 3), 48, 68]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2151, 66, F2, 3, 67) (dual of [(66, 3), 47, 68]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2149, 65, F2, 3, 66) (dual of [(65, 3), 46, 67]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2150, 33, F2, 6, 67) (dual of [(33, 6), 48, 68]-NRT-code) | [i] | OOA Folding | |