Information on Result #712545
Linear OA(755, 122, F7, 25) (dual of [122, 67, 26]-code), using construction X applied to C([16,40]) ⊂ C([19,40]) based on
- linear OA(753, 114, F7, 25) (dual of [114, 61, 26]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {16,17,…,40}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(747, 114, F7, 22) (dual of [114, 67, 23]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {19,20,…,40}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)), using
- extended Reed–Solomon code RSe(6,7) [i]
- Hamming code H(2,7) [i]
- algebraic-geometric code AG(F, Q+1P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F7 with g(F) = 0 and N(F) ≥ 8, using the rational function field F7(x) [i]
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 OOA(755, 61, F7, 2, 25) (dual of [(61, 2), 67, 26]-NRT-code) | [i] | OOA Folding | |