Information on Result #2248653
Linear OA(772, 117649, F7, 14) (dual of [117649, 117577, 15]-code), using 1 times truncation based on linear OA(773, 117650, F7, 15) (dual of [117650, 117577, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [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(772, 88174, F7, 2, 14) (dual of [(88174, 2), 176276, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(772, 88174, F7, 3, 14) (dual of [(88174, 3), 264450, 15]-NRT-code) | [i] | ||
| 3 | Digital (58, 72, 88174)-net over F7 | [i] | ||
| 4 | Linear OOA(772, 58824, F7, 2, 14) (dual of [(58824, 2), 117576, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(772, 39216, F7, 3, 14) (dual of [(39216, 3), 117576, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(772, 16807, F7, 14, 14) (dual of [(16807, 14), 235226, 15]-NRT-code) | [i] | OA Folding and Stacking | |