Information on Result #1029286
Linear OOA(2109, 51, F2, 3, 49) (dual of [(51, 3), 44, 50]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(429, 17, F4, 3, 24) (dual of [(17, 3), 22, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,26P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, 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, 51, F2, 3, 48) (dual of [(51, 3), 44, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2109, 51, F2, 3, 47) (dual of [(51, 3), 44, 48]-NRT-code) | [i] | ||
| 3 | Linear OOA(2109, 51, F2, 3, 46) (dual of [(51, 3), 44, 47]-NRT-code) | [i] | ||
| 4 | Linear OOA(2112, 52, F2, 3, 49) (dual of [(52, 3), 44, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2115, 53, F2, 3, 49) (dual of [(53, 3), 44, 50]-NRT-code) | [i] | ||
| 6 | Linear OOA(2110, 51, F2, 3, 49) (dual of [(51, 3), 43, 50]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2108, 50, F2, 3, 48) (dual of [(50, 3), 42, 49]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2109, 25, F2, 5, 49) (dual of [(25, 5), 16, 50]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2109, 25, F2, 6, 49) (dual of [(25, 6), 41, 50]-NRT-code) | [i] | ||