Information on Result #631540
Linear OA(371, 128, F3, 25) (dual of [128, 57, 26]-code), using concatenation of two codes based on
- linear OA(2713, 32, F27, 12) (dual of [32, 19, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2713, 38, F27, 12) (dual of [38, 25, 13]-code), using
- extended algebraic-geometric code AGe(F,25P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2713, 38, F27, 12) (dual of [38, 25, 13]-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 OOA(371, 64, F3, 2, 25) (dual of [(64, 2), 57, 26]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(371, 42, F3, 3, 25) (dual of [(42, 3), 55, 26]-NRT-code) | [i] | ||