Information on Result #663419
Linear OA(716, 4714, F7, 5) (dual of [4714, 4698, 6]-code), using (u, u+v)-construction 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(714, 4706, F7, 5) (dual of [4706, 4692, 6]-code), using
- trace code [i] based on linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), 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 OOA(716, 4714, F7, 2, 5) (dual of [(4714, 2), 9412, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(716, 4714, F7, 3, 5) (dual of [(4714, 3), 14126, 6]-NRT-code) | [i] | ||
| 3 | Digital (11, 16, 4714)-net over F7 | [i] | ||
| 4 | Linear OOA(716, 2357, F7, 2, 5) (dual of [(2357, 2), 4698, 6]-NRT-code) | [i] | OOA Folding | |