Information on Result #676130
Linear OA(3250, 2261, F3, 49) (dual of [2261, 2011, 50]-code), using construction X applied to Ce(48) ⊂ Ce(37) based on
- linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [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(325, 74, F3, 10) (dual of [74, 49, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(325, 80, F3, 10) (dual of [80, 55, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(325, 80, F3, 10) (dual of [80, 55, 11]-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(3249, 2260, F3, 48) (dual of [2260, 2011, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(3250, 1130, F3, 2, 49) (dual of [(1130, 2), 2010, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3250, 753, F3, 3, 49) (dual of [(753, 3), 2009, 50]-NRT-code) | [i] | ||
| 4 | Linear OOA(3250, 565, F3, 4, 49) (dual of [(565, 4), 2010, 50]-NRT-code) | [i] | ||
| 5 | Linear OOA(3250, 452, F3, 5, 49) (dual of [(452, 5), 2010, 50]-NRT-code) | [i] | ||