Information on Result #676131
Linear OA(3242, 2260, F3, 47) (dual of [2260, 2018, 48]-code), using construction X applied to Ce(46) ⊂ Ce(36) based on
- linear OA(3218, 2187, F3, 47) (dual of [2187, 1969, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(324, 73, F3, 9) (dual of [73, 49, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(324, 80, F3, 9) (dual of [80, 56, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(324, 80, F3, 9) (dual of [80, 56, 10]-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 OA(3243, 2261, F3, 47) (dual of [2261, 2018, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3244, 2262, F3, 47) (dual of [2262, 2018, 48]-code) | [i] | ||
| 3 | Linear OOA(3242, 1130, F3, 2, 47) (dual of [(1130, 2), 2018, 48]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3242, 753, F3, 3, 47) (dual of [(753, 3), 2017, 48]-NRT-code) | [i] | ||
| 5 | Linear OOA(3242, 565, F3, 4, 47) (dual of [(565, 4), 2018, 48]-NRT-code) | [i] | ||
| 6 | Linear OOA(3242, 452, F3, 5, 47) (dual of [(452, 5), 2018, 48]-NRT-code) | [i] | ||