Information on Result #639215
Linear OA(8148, 216, F8, 75) (dual of [216, 68, 76]-code), using concatenation of two codes based on
- linear OA(6438, 72, F64, 37) (dual of [72, 34, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(6438, 79, F64, 37) (dual of [79, 41, 38]-code), using
- algebraic-geometric code AG(F,41P) [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(6438, 79, F64, 37) (dual of [79, 41, 38]-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(8147, 215, F8, 74) (dual of [215, 68, 75]-code) | [i] | Truncation | |
| 2 | Linear OOA(8148, 108, F8, 2, 75) (dual of [(108, 2), 68, 76]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8148, 72, F8, 3, 75) (dual of [(72, 3), 68, 76]-NRT-code) | [i] | ||