Information on Result #675488
Linear OA(3100, 6574, F3, 19) (dual of [6574, 6474, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
- linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3100, 3287, F3, 2, 19) (dual of [(3287, 2), 6474, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3100, 2191, F3, 3, 19) (dual of [(2191, 3), 6473, 20]-NRT-code) | [i] | ||