Information on Result #639078
Linear OA(8141, 219, F8, 67) (dual of [219, 78, 68]-code), using concatenation of two codes based on
- linear OA(6434, 73, F64, 33) (dual of [73, 39, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(6434, 79, F64, 33) (dual of [79, 45, 34]-code), using
- algebraic-geometric code AG(F,45P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- discarding factors / shortening the dual code based on linear OA(6434, 79, F64, 33) (dual of [79, 45, 34]-code), using
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(8140, 218, F8, 66) (dual of [218, 78, 67]-code) | [i] | Truncation | |
| 2 | Linear OOA(8141, 109, F8, 2, 67) (dual of [(109, 2), 77, 68]-NRT-code) | [i] | OOA Folding | |