Information on Result #913927
Linear OOA(2128, 100, F2, 2, 45) (dual of [(100, 2), 72, 46]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(826, 25, F8, 2, 22) (dual of [(25, 2), 24, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, 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(2128, 100, F2, 2, 44) (dual of [(100, 2), 72, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2130, 101, F2, 2, 45) (dual of [(101, 2), 72, 46]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2132, 102, F2, 2, 45) (dual of [(102, 2), 72, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(2129, 100, F2, 2, 45) (dual of [(100, 2), 71, 46]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2127, 99, F2, 2, 44) (dual of [(99, 2), 71, 45]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2128, 50, F2, 4, 45) (dual of [(50, 4), 72, 46]-NRT-code) | [i] | OOA Folding | |