Information on Result #633233
Linear OA(3200, 420, F3, 57) (dual of [420, 220, 58]-code), using concatenation of two codes based on
- linear OA(8129, 84, F81, 28) (dual of [84, 55, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, 100, F81, 28) (dual of [100, 71, 29]-code), using
- extended algebraic-geometric code AGe(F,71P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- discarding factors / shortening the dual code based on linear OA(8129, 100, F81, 28) (dual of [100, 71, 29]-code), using
- linear OA(31, 5, F3, 1) (dual of [5, 4, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3199, 419, F3, 56) (dual of [419, 220, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(3200, 210, F3, 2, 57) (dual of [(210, 2), 220, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3200, 140, F3, 3, 57) (dual of [(140, 3), 220, 58]-NRT-code) | [i] | ||