Information on Result #1522188
Linear OOA(3108, 3287, F3, 3, 20) (dual of [(3287, 3), 9753, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3108, 3287, F3, 2, 20) (dual of [(3287, 2), 6466, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3108, 6574, F3, 20) (dual of [6574, 6466, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
Mode: 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(3108, 1643, F3, 5, 20) (dual of [(1643, 5), 8107, 21]-NRT-code) | [i] | OOA Folding | |