Information on Result #639380
Linear OA(8173, 261, F8, 81) (dual of [261, 88, 82]-code), using concatenation of two codes based on
- linear OA(6443, 87, F64, 40) (dual of [87, 44, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(6443, 103, F64, 40) (dual of [103, 60, 41]-code), using
- algebraic-geometric code AG(F,62P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- discarding factors / shortening the dual code based on linear OA(6443, 103, F64, 40) (dual of [103, 60, 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(8173, 261, F8, 80) (dual of [261, 88, 81]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8172, 260, F8, 80) (dual of [260, 88, 81]-code) | [i] | Truncation | |
| 3 | Linear OOA(8173, 130, F8, 2, 81) (dual of [(130, 2), 87, 82]-NRT-code) | [i] | OOA Folding | |