Information on Result #675459
Linear OA(3205, 6581, F3, 38) (dual of [6581, 6376, 39]-code), using construction X applied to Ce(37) ⊂ Ce(34) 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(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(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(3205, 3575, F3, 2, 38) (dual of [(3575, 2), 6945, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3205, 3575, F3, 3, 38) (dual of [(3575, 3), 10520, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3205, 3575, F3, 4, 38) (dual of [(3575, 4), 14095, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3205, 3575, F3, 5, 38) (dual of [(3575, 5), 17670, 39]-NRT-code) | [i] | ||
| 5 | Digital (167, 205, 3575)-net over F3 | [i] | ||
| 6 | Linear OOA(3205, 3290, F3, 2, 38) (dual of [(3290, 2), 6375, 39]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3205, 2193, F3, 3, 38) (dual of [(2193, 3), 6374, 39]-NRT-code) | [i] | ||
| 8 | Linear OOA(3205, 1645, F3, 4, 38) (dual of [(1645, 4), 6375, 39]-NRT-code) | [i] | ||
| 9 | Linear OOA(3205, 1316, F3, 5, 38) (dual of [(1316, 5), 6375, 39]-NRT-code) | [i] | ||