Information on Result #812676
Linear OOA(370, 797176, F3, 2, 8) (dual of [(797176, 2), 1594282, 9]-NRT-code), using OOA 2-folding based on linear OA(370, 1594352, F3, 8) (dual of [1594352, 1594282, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(370, 1594353, F3, 8) (dual of [1594353, 1594283, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [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(340, 1594323, F3, 5) (dual of [1594323, 1594283, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
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(3221, 4991477, F3, 2, 16) (dual of [(4991477, 2), 9982733, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3236, 4991477, F3, 2, 17) (dual of [(4991477, 2), 9982718, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(370, 797176, F3, 3, 8) (dual of [(797176, 3), 2391458, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(370, 797176, F3, 4, 8) (dual of [(797176, 4), 3188634, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(370, 797176, F3, 5, 8) (dual of [(797176, 5), 3985810, 9]-NRT-code) | [i] | ||
| 6 | Digital (62, 70, 797176)-net over F3 | [i] | ||