Information on Result #2418080
Linear OOA(294, 68, F2, 2, 36) (dual of [(68, 2), 42, 37]-NRT-code), using strength reduction based on linear OOA(294, 68, F2, 2, 37) (dual of [(68, 2), 42, 38]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(820, 17, F8, 2, 18) (dual of [(17, 2), 14, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,15P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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
- linear OOA(820, 17, F8, 2, 18) (dual of [(17, 2), 14, 19]-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(296, 69, F2, 2, 36) (dual of [(69, 2), 42, 37]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(295, 68, F2, 2, 36) (dual of [(68, 2), 41, 37]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(294, 34, F2, 4, 36) (dual of [(34, 4), 42, 37]-NRT-code) | [i] | OOA Folding | |