Information on Result #632060
Linear OA(3159, 216, F3, 63) (dual of [216, 57, 64]-code), using concatenation of two codes based on
- linear OA(2735, 54, F27, 31) (dual of [54, 19, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2735, 64, F27, 31) (dual of [64, 29, 32]-code), using
- extended algebraic-geometric code AGe(F,32P) [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 OA(2735, 64, F27, 31) (dual of [64, 29, 32]-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(3158, 215, F3, 62) (dual of [215, 57, 63]-code) | [i] | Truncation | |
| 2 | Linear OOA(3159, 108, F3, 2, 63) (dual of [(108, 2), 57, 64]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3159, 72, F3, 3, 63) (dual of [(72, 3), 57, 64]-NRT-code) | [i] | ||