Information on Result #876397
Linear OOA(8134, 265722, F81, 2, 12) (dual of [(265722, 2), 531410, 13]-NRT-code), using OOA 2-folding based on linear OA(8134, 531444, F81, 12) (dual of [531444, 531410, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8131, 531441, F81, 11) (dual of [531441, 531410, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(8140, 265804, F81, 2, 12) (dual of [(265804, 2), 531568, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8141, 265822, F81, 2, 12) (dual of [(265822, 2), 531603, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(8142, 265838, F81, 2, 12) (dual of [(265838, 2), 531634, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(8143, 265886, F81, 2, 12) (dual of [(265886, 2), 531729, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(8144, 265904, F81, 2, 12) (dual of [(265904, 2), 531764, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(8134, 265722, F81, 3, 12) (dual of [(265722, 3), 797132, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(8134, 265722, F81, 4, 12) (dual of [(265722, 4), 1062854, 13]-NRT-code) | [i] | ||
| 8 | Digital (22, 34, 265722)-net over F81 | [i] | ||