Information on Result #876291
Linear OOA(8119, 265722, F81, 2, 7) (dual of [(265722, 2), 531425, 8]-NRT-code), using OOA 2-folding based on linear OA(8119, 531444, F81, 7) (dual of [531444, 531425, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(8119, 531441, F81, 7) (dual of [531441, 531422, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(8116, 531441, F81, 6) (dual of [531441, 531425, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(8122, 265804, F81, 2, 7) (dual of [(265804, 2), 531586, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8123, 272284, F81, 2, 7) (dual of [(272284, 2), 544545, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(8124, 282040, F81, 2, 7) (dual of [(282040, 2), 564056, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(8172, 4460023, F81, 2, 14) (dual of [(4460023, 2), 8919974, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(8176, 4460023, F81, 2, 15) (dual of [(4460023, 2), 8919970, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(8133, large, F81, 2, 7) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(8119, 265722, F81, 3, 7) (dual of [(265722, 3), 797147, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Linear OOA(8119, 265722, F81, 4, 7) (dual of [(265722, 4), 1062869, 8]-NRT-code) | [i] | ||
| 9 | Digital (12, 19, 265722)-net over F81 | [i] | ||