Information on Result #631814
Linear OA(3120, 144, F3, 55) (dual of [144, 24, 56]-code), using concatenation of two codes based on
- linear OA(2728, 36, F27, 27) (dual of [36, 8, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2728, 38, F27, 27) (dual of [38, 10, 28]-code), using
- extended algebraic-geometric code AGe(F,10P) [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(2728, 38, F27, 27) (dual of [38, 10, 28]-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(3119, 143, F3, 54) (dual of [143, 24, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(3120, 72, F3, 2, 55) (dual of [(72, 2), 24, 56]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3120, 48, F3, 3, 55) (dual of [(48, 3), 24, 56]-NRT-code) | [i] | ||