Information on Result #2424287
Linear OOA(2200, 190, F2, 2, 56) (dual of [(190, 2), 180, 57]-NRT-code), using strength reduction based on linear OOA(2200, 190, F2, 2, 57) (dual of [(190, 2), 180, 58]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(1631, 38, F16, 2, 28) (dual of [(38, 2), 45, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,47P) [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(1631, 38, F16, 2, 28) (dual of [(38, 2), 45, 29]-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(2202, 191, F2, 2, 56) (dual of [(191, 2), 180, 57]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2204, 192, F2, 2, 56) (dual of [(192, 2), 180, 57]-NRT-code) | [i] | ||
| 3 | Linear OOA(2201, 190, F2, 2, 56) (dual of [(190, 2), 179, 57]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2200, 95, F2, 4, 56) (dual of [(95, 4), 180, 57]-NRT-code) | [i] | OOA Folding | |