Information on Result #812674
Linear OOA(366, 797168, F3, 2, 8) (dual of [(797168, 2), 1594270, 9]-NRT-code), using OOA 2-folding based on linear OA(366, 1594336, F3, 8) (dual of [1594336, 1594270, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(366, 1594323, F3, 8) (dual of [1594323, 1594257, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(353, 1594323, F3, 7) (dual of [1594323, 1594270, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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(3217, 4991469, F3, 2, 16) (dual of [(4991469, 2), 9982721, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3232, 4991469, F3, 2, 17) (dual of [(4991469, 2), 9982706, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(366, 797168, F3, 3, 8) (dual of [(797168, 3), 2391438, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(366, 797168, F3, 4, 8) (dual of [(797168, 4), 3188606, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(366, 797168, F3, 5, 8) (dual of [(797168, 5), 3985774, 9]-NRT-code) | [i] | ||
| 6 | Digital (58, 66, 797168)-net over F3 | [i] | ||