Information on Result #675464
Linear OA(3189, 6581, F3, 35) (dual of [6581, 6392, 36]-code), using construction X applied to Ce(34) ⊂ Ce(31) based on
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 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
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(3189, 3408, F3, 2, 35) (dual of [(3408, 2), 6627, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3189, 3408, F3, 3, 35) (dual of [(3408, 3), 10035, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3189, 3408, F3, 4, 35) (dual of [(3408, 4), 13443, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3189, 3408, F3, 5, 35) (dual of [(3408, 5), 16851, 36]-NRT-code) | [i] | ||
| 5 | Digital (154, 189, 3408)-net over F3 | [i] | ||
| 6 | Linear OOA(3189, 3290, F3, 2, 35) (dual of [(3290, 2), 6391, 36]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3189, 2193, F3, 3, 35) (dual of [(2193, 3), 6390, 36]-NRT-code) | [i] | ||
| 8 | Linear OOA(3189, 1645, F3, 4, 35) (dual of [(1645, 4), 6391, 36]-NRT-code) | [i] | ||
| 9 | Linear OOA(3189, 1316, F3, 5, 35) (dual of [(1316, 5), 6391, 36]-NRT-code) | [i] | ||