Information on Result #639278
Linear OA(8156, 228, F8, 79) (dual of [228, 72, 80]-code), using concatenation of two codes based on
- linear OA(6440, 76, F64, 39) (dual of [76, 36, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(6440, 79, F64, 39) (dual of [79, 39, 40]-code), using
- algebraic-geometric code AG(F,39P) [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(6440, 79, F64, 39) (dual of [79, 39, 40]-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(8155, 227, F8, 78) (dual of [227, 72, 79]-code) | [i] | Truncation | |
| 2 | Linear OOA(8156, 114, F8, 2, 79) (dual of [(114, 2), 72, 80]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8156, 76, F8, 3, 79) (dual of [(76, 3), 72, 80]-NRT-code) | [i] | ||