Information on Result #916426
Linear OOA(3223, 200, F3, 2, 77) (dual of [(200, 2), 177, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(2741, 50, F27, 2, 38) (dual of [(50, 2), 59, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2741, 52, F27, 2, 38) (dual of [(52, 2), 63, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,65P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OOA(2741, 52, F27, 2, 38) (dual of [(52, 2), 63, 39]-NRT-code), using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(3223, 200, F3, 2, 76) (dual of [(200, 2), 177, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3224, 200, F3, 2, 77) (dual of [(200, 2), 176, 78]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3222, 199, F3, 2, 76) (dual of [(199, 2), 176, 77]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3223, 100, F3, 4, 77) (dual of [(100, 4), 177, 78]-NRT-code) | [i] | OOA Folding | |