Information on Result #677654
Linear OA(349, 130, F3, 16) (dual of [130, 81, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
- linear OA(346, 122, F3, 16) (dual of [122, 76, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(341, 122, F3, 13) (dual of [122, 81, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(33, 8, F3, 2) (dual of [8, 5, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(350, 131, F3, 16) (dual of [131, 81, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(348, 129, F3, 15) (dual of [129, 81, 16]-code) | [i] | Truncation | |
| 3 | Linear OOA(349, 65, F3, 2, 16) (dual of [(65, 2), 81, 17]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(349, 43, F3, 3, 16) (dual of [(43, 3), 80, 17]-NRT-code) | [i] | ||