Information on Result #632331
Linear OA(3212, 320, F3, 75) (dual of [320, 108, 76]-code), using concatenation of two codes based on
- linear OA(2744, 80, F27, 37) (dual of [80, 36, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(2744, 81, F27, 37) (dual of [81, 37, 38]-code), using
- algebraic-geometric code AG(F,43P) [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(2744, 81, F27, 37) (dual of [81, 37, 38]-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(3211, 319, F3, 74) (dual of [319, 108, 75]-code) | [i] | Truncation | |
| 2 | Linear OOA(3212, 160, F3, 2, 75) (dual of [(160, 2), 108, 76]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3212, 106, F3, 3, 75) (dual of [(106, 3), 106, 76]-NRT-code) | [i] | ||