Information on Result #913744
Linear OOA(2128, 81, F2, 2, 55) (dual of [(81, 2), 34, 56]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(437, 27, F4, 2, 27) (dual of [(27, 2), 17, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,26P) [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(2128, 81, F2, 2, 54) (dual of [(81, 2), 34, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2130, 82, F2, 2, 55) (dual of [(82, 2), 34, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2129, 81, F2, 2, 55) (dual of [(81, 2), 33, 56]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2127, 80, F2, 2, 54) (dual of [(80, 2), 33, 55]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2128, 40, F2, 4, 55) (dual of [(40, 4), 32, 56]-NRT-code) | [i] | OOA Folding | |