Information on Result #632506
Linear OA(3228, 312, F3, 87) (dual of [312, 84, 88]-code), using concatenation of two codes based on
- linear OA(2750, 78, F27, 43) (dual of [78, 28, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(2750, 81, F27, 43) (dual of [81, 31, 44]-code), using
- algebraic-geometric code AG(F,37P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- discarding factors / shortening the dual code based on linear OA(2750, 81, F27, 43) (dual of [81, 31, 44]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3227, 311, F3, 86) (dual of [311, 84, 87]-code) | [i] | Truncation | |
| 2 | Linear OOA(3228, 156, F3, 2, 87) (dual of [(156, 2), 84, 88]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3228, 104, F3, 3, 87) (dual of [(104, 3), 84, 88]-NRT-code) | [i] | ||