Information on Result #632530
Linear OA(3232, 316, F3, 89) (dual of [316, 84, 90]-code), using concatenation of two codes based on
- linear OA(2751, 79, F27, 44) (dual of [79, 28, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(2751, 81, F27, 44) (dual of [81, 30, 45]-code), using
- algebraic-geometric code AG(F,36P) [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(2751, 81, F27, 44) (dual of [81, 30, 45]-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(3231, 315, F3, 88) (dual of [315, 84, 89]-code) | [i] | Truncation | |
| 2 | Linear OOA(3232, 158, F3, 2, 89) (dual of [(158, 2), 84, 90]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3232, 105, F3, 3, 89) (dual of [(105, 3), 83, 90]-NRT-code) | [i] | ||