Information on Result #675463
Linear OA(3188, 6574, F3, 35) (dual of [6574, 6386, 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(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(3188, 3295, F3, 2, 35) (dual of [(3295, 2), 6402, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3188, 3295, F3, 3, 35) (dual of [(3295, 3), 9697, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3188, 3295, F3, 4, 35) (dual of [(3295, 4), 12992, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3188, 3295, F3, 5, 35) (dual of [(3295, 5), 16287, 36]-NRT-code) | [i] | ||
| 5 | Digital (153, 188, 3295)-net over F3 | [i] | ||
| 6 | Linear OOA(3188, 3287, F3, 2, 35) (dual of [(3287, 2), 6386, 36]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3188, 2191, F3, 3, 35) (dual of [(2191, 3), 6385, 36]-NRT-code) | [i] | ||