Information on Result #1029670
Linear OOA(2105, 56, F2, 3, 41) (dual of [(56, 3), 63, 42]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(821, 14, F8, 3, 20) (dual of [(14, 3), 21, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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
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(2105, 56, F2, 3, 40) (dual of [(56, 3), 63, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2107, 56, F2, 3, 41) (dual of [(56, 3), 61, 42]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2105, 28, F2, 5, 41) (dual of [(28, 5), 35, 42]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2105, 28, F2, 6, 41) (dual of [(28, 6), 63, 42]-NRT-code) | [i] | ||