Information on Result #1029438
Linear OOA(2163, 75, F2, 3, 69) (dual of [(75, 3), 62, 70]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(444, 25, F4, 3, 34) (dual of [(25, 3), 31, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(444, 26, F4, 3, 34) (dual of [(26, 3), 34, 35]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,43P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(444, 26, F4, 3, 34) (dual of [(26, 3), 34, 35]-NRT-code), 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(2163, 75, F2, 3, 68) (dual of [(75, 3), 62, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2163, 75, F2, 3, 67) (dual of [(75, 3), 62, 68]-NRT-code) | [i] | ||
| 3 | Linear OOA(2164, 75, F2, 3, 69) (dual of [(75, 3), 61, 70]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2162, 74, F2, 3, 68) (dual of [(74, 3), 60, 69]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2163, 37, F2, 5, 69) (dual of [(37, 5), 22, 70]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2163, 37, F2, 6, 69) (dual of [(37, 6), 59, 70]-NRT-code) | [i] | ||