Information on Result #2426300
Linear OOA(2224, 190, F2, 2, 68) (dual of [(190, 2), 156, 69]-NRT-code), using strength reduction based on linear OOA(2224, 190, F2, 2, 69) (dual of [(190, 2), 156, 70]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(1637, 38, F16, 2, 34) (dual of [(38, 2), 39, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,41P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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(1637, 38, F16, 2, 34) (dual of [(38, 2), 39, 35]-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(2226, 191, F2, 2, 68) (dual of [(191, 2), 156, 69]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2228, 192, F2, 2, 68) (dual of [(192, 2), 156, 69]-NRT-code) | [i] | ||
| 3 | Linear OOA(2225, 190, F2, 2, 68) (dual of [(190, 2), 155, 69]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2224, 95, F2, 4, 68) (dual of [(95, 4), 156, 69]-NRT-code) | [i] | OOA Folding | |