Information on Result #675611
Linear OA(3210, 6626, F3, 36) (dual of [6626, 6416, 37]-code), using construction X applied to Ce(36) ⊂ Ce(27) based on
- 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(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(317, 65, F3, 7) (dual of [65, 48, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(317, 80, F3, 7) (dual of [80, 63, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(317, 80, F3, 7) (dual of [80, 63, 8]-code), 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(3210, 5766, F3, 2, 36) (dual of [(5766, 2), 11322, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3210, 5766, F3, 3, 36) (dual of [(5766, 3), 17088, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(3210, 5766, F3, 4, 36) (dual of [(5766, 4), 22854, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(3210, 5766, F3, 5, 36) (dual of [(5766, 5), 28620, 37]-NRT-code) | [i] | ||
| 5 | Digital (174, 210, 5766)-net over F3 | [i] | ||
| 6 | Linear OOA(3210, 3313, F3, 2, 36) (dual of [(3313, 2), 6416, 37]-NRT-code) | [i] | OOA Folding | |