Information on Result #639424
Linear OA(8170, 240, F8, 89) (dual of [240, 70, 90]-code), using concatenation of two codes based on
- linear OA(6445, 80, F64, 44) (dual of [80, 35, 45]-code), using
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, 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(8170, 240, F8, 88) (dual of [240, 70, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8171, 241, F8, 89) (dual of [241, 70, 90]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(8172, 242, F8, 89) (dual of [242, 70, 90]-code) | [i] | ||
| 4 | Linear OA(8173, 243, F8, 89) (dual of [243, 70, 90]-code) | [i] | ||
| 5 | Linear OA(8169, 239, F8, 88) (dual of [239, 70, 89]-code) | [i] | Truncation | |
| 6 | Linear OOA(8170, 120, F8, 2, 89) (dual of [(120, 2), 70, 90]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8170, 80, F8, 3, 89) (dual of [(80, 3), 70, 90]-NRT-code) | [i] | ||