Information on Result #639179
Linear OA(8147, 219, F8, 73) (dual of [219, 72, 74]-code), using concatenation of two codes based on
- linear OA(6437, 73, F64, 36) (dual of [73, 36, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(6437, 79, F64, 36) (dual of [79, 42, 37]-code), using
- algebraic-geometric code AG(F,42P) [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(6437, 79, F64, 36) (dual of [79, 42, 37]-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(8146, 218, F8, 72) (dual of [218, 72, 73]-code) | [i] | Truncation | |
| 2 | Linear OOA(8147, 109, F8, 2, 73) (dual of [(109, 2), 71, 74]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8147, 73, F8, 3, 73) (dual of [(73, 3), 72, 74]-NRT-code) | [i] | ||