Information on Result #675504
Linear OA(344, 6574, F3, 8) (dual of [6574, 6530, 9]-code), using construction X applied to Ce(7) ⊂ Ce(4) based on
- linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(325, 6561, F3, 5) (dual of [6561, 6536, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(344, 3927, F3, 2, 8) (dual of [(3927, 2), 7810, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(344, 3927, F3, 3, 8) (dual of [(3927, 3), 11737, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(344, 3927, F3, 4, 8) (dual of [(3927, 4), 15664, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(344, 3927, F3, 5, 8) (dual of [(3927, 5), 19591, 9]-NRT-code) | [i] | ||
| 5 | Digital (36, 44, 3927)-net over F3 | [i] | ||
| 6 | Linear OOA(344, 3287, F3, 2, 8) (dual of [(3287, 2), 6530, 9]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(344, 2191, F3, 3, 8) (dual of [(2191, 3), 6529, 9]-NRT-code) | [i] | ||