Information on Result #2424138
Linear OOA(2198, 165, F2, 2, 62) (dual of [(165, 2), 132, 63]-NRT-code), using strength reduction based on linear OOA(2198, 165, F2, 2, 63) (dual of [(165, 2), 132, 64]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(1633, 33, F16, 2, 31) (dual of [(33, 2), 33, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,34P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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
- linear OOA(1633, 33, F16, 2, 31) (dual of [(33, 2), 33, 32]-NRT-code), 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(2200, 166, F2, 2, 62) (dual of [(166, 2), 132, 63]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2202, 167, F2, 2, 62) (dual of [(167, 2), 132, 63]-NRT-code) | [i] | ||
| 3 | Linear OOA(2199, 165, F2, 2, 62) (dual of [(165, 2), 131, 63]-NRT-code) | [i] | OOA Duplication | |