Information on Result #675509
Linear OA(3247, 6591, F3, 45) (dual of [6591, 6344, 46]-code), using construction X applied to Ce(45) ⊂ Ce(40) based on
- linear OA(3241, 6561, F3, 46) (dual of [6561, 6320, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3217, 6561, F3, 41) (dual of [6561, 6344, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3247, 4488, F3, 2, 45) (dual of [(4488, 2), 8729, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3247, 4488, F3, 3, 45) (dual of [(4488, 3), 13217, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(3247, 4488, F3, 4, 45) (dual of [(4488, 4), 17705, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(3247, 4488, F3, 5, 45) (dual of [(4488, 5), 22193, 46]-NRT-code) | [i] | ||
| 5 | Digital (202, 247, 4488)-net over F3 | [i] | ||
| 6 | Linear OOA(3247, 3295, F3, 2, 45) (dual of [(3295, 2), 6343, 46]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3247, 2197, F3, 3, 45) (dual of [(2197, 3), 6344, 46]-NRT-code) | [i] | ||
| 8 | Linear OOA(3247, 1647, F3, 4, 45) (dual of [(1647, 4), 6341, 46]-NRT-code) | [i] | ||
| 9 | Linear OOA(3247, 1318, F3, 5, 45) (dual of [(1318, 5), 6343, 46]-NRT-code) | [i] | ||