Information on Result #632156
Linear OA(3181, 268, F3, 67) (dual of [268, 87, 68]-code), using concatenation of two codes based on
- linear OA(2738, 67, F27, 33) (dual of [67, 29, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(2738, 68, F27, 33) (dual of [68, 30, 34]-code), using
- extended algebraic-geometric code AGe(F,34P) [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- discarding factors / shortening the dual code based on linear OA(2738, 68, F27, 33) (dual of [68, 30, 34]-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(3180, 267, F3, 66) (dual of [267, 87, 67]-code) | [i] | Truncation | |
| 2 | Linear OOA(3181, 134, F3, 2, 67) (dual of [(134, 2), 87, 68]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3181, 89, F3, 3, 67) (dual of [(89, 3), 86, 68]-NRT-code) | [i] | ||