Information on Result #632604
Linear OA(3248, 344, F3, 91) (dual of [344, 96, 92]-code), using concatenation of two codes based on
- linear OA(2754, 86, F27, 45) (dual of [86, 32, 46]-code), using
- discarding factors / shortening the dual code based on linear OA(2754, 87, F27, 45) (dual of [87, 33, 46]-code), using
- algebraic-geometric code AG(F,41P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- discarding factors / shortening the dual code based on linear OA(2754, 87, F27, 45) (dual of [87, 33, 46]-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(3247, 343, F3, 90) (dual of [343, 96, 91]-code) | [i] | Truncation | |
| 2 | Linear OOA(3248, 172, F3, 2, 91) (dual of [(172, 2), 96, 92]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3248, 114, F3, 3, 91) (dual of [(114, 3), 94, 92]-NRT-code) | [i] | ||