Information on Result #714197
Linear OA(792, 408, F7, 29) (dual of [408, 316, 30]-code), using construction X applied to C([41,69]) ⊂ C([41,66]) based on
- linear OA(790, 400, F7, 29) (dual of [400, 310, 30]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {41,42,…,69}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(782, 400, F7, 26) (dual of [400, 318, 27]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {41,42,…,66}, and designed minimum distance d ≥ |I|+1 = 27 [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(792, 204, F7, 2, 29) (dual of [(204, 2), 316, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(792, 136, F7, 3, 29) (dual of [(136, 3), 316, 30]-NRT-code) | [i] | ||