Information on Result #676118
Linear OA(3239, 2250, F3, 47) (dual of [2250, 2011, 48]-code), using construction X applied to Ce(46) ⊂ Ce(37) 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(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(321, 63, F3, 8) (dual of [63, 42, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-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(3240, 2251, F3, 47) (dual of [2251, 2011, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3241, 2252, F3, 47) (dual of [2252, 2011, 48]-code) | [i] | ||
| 3 | Linear OOA(3239, 1125, F3, 2, 47) (dual of [(1125, 2), 2011, 48]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3239, 750, F3, 3, 47) (dual of [(750, 3), 2011, 48]-NRT-code) | [i] | ||
| 5 | Linear OOA(3239, 562, F3, 4, 47) (dual of [(562, 4), 2009, 48]-NRT-code) | [i] | ||
| 6 | Linear OOA(3239, 450, F3, 5, 47) (dual of [(450, 5), 2011, 48]-NRT-code) | [i] | ||