Information on Result #632414
Linear OA(3214, 292, F3, 83) (dual of [292, 78, 84]-code), using concatenation of two codes based on
- linear OA(2747, 73, F27, 41) (dual of [73, 26, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(2747, 75, F27, 41) (dual of [75, 28, 42]-code), using
- algebraic-geometric code AG(F,33P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- discarding factors / shortening the dual code based on linear OA(2747, 75, F27, 41) (dual of [75, 28, 42]-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(3213, 291, F3, 82) (dual of [291, 78, 83]-code) | [i] | Truncation | |
| 2 | Linear OOA(3214, 146, F3, 2, 83) (dual of [(146, 2), 78, 84]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3214, 97, F3, 3, 83) (dual of [(97, 3), 77, 84]-NRT-code) | [i] | ||