Information on Result #639399
Linear OA(8166, 234, F8, 87) (dual of [234, 68, 88]-code), using concatenation of two codes based on
- linear OA(6444, 78, F64, 43) (dual of [78, 34, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(6444, 79, F64, 43) (dual of [79, 35, 44]-code), using
- algebraic-geometric code AG(F,35P) [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(6444, 79, F64, 43) (dual of [79, 35, 44]-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(8165, 233, F8, 86) (dual of [233, 68, 87]-code) | [i] | Truncation | |
| 2 | Linear OOA(8166, 117, F8, 2, 87) (dual of [(117, 2), 68, 88]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8166, 78, F8, 3, 87) (dual of [(78, 3), 68, 88]-NRT-code) | [i] | ||