Information on Result #632527
Linear OA(3235, 328, F3, 89) (dual of [328, 93, 90]-code), using concatenation of two codes based on
- linear OA(2751, 82, F27, 44) (dual of [82, 31, 45]-code), using
- extended algebraic-geometric code AGe(F,37P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, 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(3235, 328, F3, 88) (dual of [328, 93, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3236, 329, F3, 89) (dual of [329, 93, 90]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3237, 330, F3, 89) (dual of [330, 93, 90]-code) | [i] | ||
| 4 | Linear OA(3238, 331, F3, 89) (dual of [331, 93, 90]-code) | [i] | ||
| 5 | Linear OA(3239, 332, F3, 89) (dual of [332, 93, 90]-code) | [i] | ||
| 6 | Linear OA(3234, 327, F3, 88) (dual of [327, 93, 89]-code) | [i] | Truncation | |
| 7 | Linear OOA(3235, 164, F3, 2, 89) (dual of [(164, 2), 93, 90]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3235, 109, F3, 3, 89) (dual of [(109, 3), 92, 90]-NRT-code) | [i] | ||