Information on Result #631714
Linear OA(3109, 160, F3, 43) (dual of [160, 51, 44]-code), using concatenation of two codes based on
- linear OA(2723, 40, F27, 21) (dual of [40, 17, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2723, 48, F27, 21) (dual of [48, 25, 22]-code), using
- extended algebraic-geometric code AGe(F,26P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2723, 48, F27, 21) (dual of [48, 25, 22]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3108, 159, F3, 42) (dual of [159, 51, 43]-code) | [i] | Truncation | |
| 2 | Linear OOA(3109, 80, F3, 2, 43) (dual of [(80, 2), 51, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3109, 53, F3, 3, 43) (dual of [(53, 3), 50, 44]-NRT-code) | [i] | ||