Information on Result #816013
Linear OOA(3202, 3285, F3, 2, 38) (dual of [(3285, 2), 6368, 39]-NRT-code), using OOA 2-folding based on linear OA(3202, 6570, F3, 38) (dual of [6570, 6368, 39]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3201, 6569, F3, 38) (dual of [6569, 6368, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(3201, 6561, F3, 38) (dual of [6561, 6360, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3193, 6561, F3, 37) (dual of [6561, 6368, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 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
- construction X applied to Ce(37) ⊂ Ce(36) [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(3202, 3285, F3, 3, 38) (dual of [(3285, 3), 9653, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3202, 3285, F3, 4, 38) (dual of [(3285, 4), 12938, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3202, 3285, F3, 5, 38) (dual of [(3285, 5), 16223, 39]-NRT-code) | [i] | ||
| 4 | Digital (164, 202, 3285)-net over F3 | [i] | ||