Information on Result #684588
Linear OA(794, 823594, F7, 14) (dual of [823594, 823500, 15]-code), using construction X applied to Ce(14) ⊂ Ce(7) based on
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(79, 51, F7, 5) (dual of [51, 42, 6]-code), using
- (u, u+v)-construction [i] based on
- 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]
- linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)), using
- (u, u+v)-construction [i] based on
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(795, 823595, F7, 14) (dual of [823595, 823500, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(794, 411797, F7, 2, 14) (dual of [(411797, 2), 823500, 15]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(794, 274531, F7, 3, 14) (dual of [(274531, 3), 823499, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(794, 117656, F7, 14, 14) (dual of [(117656, 14), 1647090, 15]-NRT-code) | [i] | OA Folding and Stacking | |