Information on Result #632389
Linear OA(3217, 316, F3, 79) (dual of [316, 99, 80]-code), using concatenation of two codes based on
- linear OA(2746, 79, F27, 39) (dual of [79, 33, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(2746, 81, F27, 39) (dual of [81, 35, 40]-code), using
- algebraic-geometric code AG(F,41P) [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(2746, 81, F27, 39) (dual of [81, 35, 40]-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(3216, 315, F3, 78) (dual of [315, 99, 79]-code) | [i] | Truncation | |
| 2 | Linear OOA(3217, 158, F3, 2, 79) (dual of [(158, 2), 99, 80]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3217, 105, F3, 3, 79) (dual of [(105, 3), 98, 80]-NRT-code) | [i] | ||