Information on Result #632386
Linear OA(3220, 328, F3, 79) (dual of [328, 108, 80]-code), using concatenation of two codes based on
- linear OA(2746, 82, F27, 39) (dual of [82, 36, 40]-code), using
- extended algebraic-geometric code AGe(F,42P) [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(3220, 328, F3, 78) (dual of [328, 108, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3221, 329, F3, 79) (dual of [329, 108, 80]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3222, 330, F3, 79) (dual of [330, 108, 80]-code) | [i] | ||
| 4 | Linear OA(3219, 327, F3, 78) (dual of [327, 108, 79]-code) | [i] | Truncation | |
| 5 | Linear OOA(3220, 164, F3, 2, 79) (dual of [(164, 2), 108, 80]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3220, 109, F3, 3, 79) (dual of [(109, 3), 107, 80]-NRT-code) | [i] | ||