Information on Result #1029304
Linear OOA(2109, 45, F2, 3, 57) (dual of [(45, 3), 26, 58]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(432, 15, F4, 3, 28) (dual of [(15, 3), 13, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 4 and N(F) ≥ 15, 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(2109, 45, F2, 3, 56) (dual of [(45, 3), 26, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2109, 45, F2, 3, 55) (dual of [(45, 3), 26, 56]-NRT-code) | [i] | ||
| 3 | Linear OOA(2109, 45, F2, 3, 54) (dual of [(45, 3), 26, 55]-NRT-code) | [i] | ||
| 4 | Linear OOA(2112, 46, F2, 3, 57) (dual of [(46, 3), 26, 58]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2110, 45, F2, 3, 57) (dual of [(45, 3), 25, 58]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2108, 44, F2, 3, 56) (dual of [(44, 3), 24, 57]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2179, 82, F2, 3, 57) (dual of [(82, 3), 67, 58]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2109, 22, F2, 6, 57) (dual of [(22, 6), 23, 58]-NRT-code) | [i] | OOA Folding | |