Information on Result #1029501
Linear OOA(2178, 78, F2, 3, 81) (dual of [(78, 3), 56, 82]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(450, 26, F4, 3, 40) (dual of [(26, 3), 28, 41]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,37P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(2178, 78, F2, 3, 80) (dual of [(78, 3), 56, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2178, 78, F2, 3, 79) (dual of [(78, 3), 56, 80]-NRT-code) | [i] | ||
| 3 | Linear OOA(2179, 78, F2, 3, 81) (dual of [(78, 3), 55, 82]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2177, 77, F2, 3, 80) (dual of [(77, 3), 54, 81]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2178, 39, F2, 5, 81) (dual of [(39, 5), 17, 82]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2178, 39, F2, 6, 81) (dual of [(39, 6), 56, 82]-NRT-code) | [i] | ||