Information on Result #2437894
Linear OOA(3244, 212, F3, 2, 84) (dual of [(212, 2), 180, 85]-NRT-code), using strength reduction based on linear OOA(3244, 212, F3, 2, 85) (dual of [(212, 2), 180, 86]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(2746, 53, F27, 2, 42) (dual of [(53, 2), 60, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2746, 64, F27, 2, 42) (dual of [(64, 2), 82, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,85P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OOA(2746, 64, F27, 2, 42) (dual of [(64, 2), 82, 43]-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
- linear OOA(2746, 53, F27, 2, 42) (dual of [(53, 2), 60, 43]-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(3244, 106, F3, 4, 84) (dual of [(106, 4), 180, 85]-NRT-code) | [i] | OOA Folding | |