Information on Result #639317
Linear OA(8151, 207, F8, 81) (dual of [207, 56, 82]-code), using concatenation of two codes based on
- linear OA(6441, 69, F64, 40) (dual of [69, 28, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, 79, F64, 40) (dual of [79, 38, 41]-code), using
- algebraic-geometric code AG(F,38P) [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(6441, 79, F64, 40) (dual of [79, 38, 41]-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(8150, 206, F8, 80) (dual of [206, 56, 81]-code) | [i] | Truncation | |
| 2 | Linear OOA(8151, 103, F8, 2, 81) (dual of [(103, 2), 55, 82]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8151, 69, F8, 3, 81) (dual of [(69, 3), 56, 82]-NRT-code) | [i] | ||