Information on Result #676134
Linear OA(3214, 2260, F3, 41) (dual of [2260, 2046, 42]-code), using construction X applied to Ce(40) ⊂ Ce(30) based on
- linear OA(3190, 2187, F3, 41) (dual of [2187, 1997, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(3215, 2261, F3, 41) (dual of [2261, 2046, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3216, 2262, F3, 41) (dual of [2262, 2046, 42]-code) | [i] | ||
| 3 | Linear OOA(3214, 1130, F3, 2, 41) (dual of [(1130, 2), 2046, 42]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3214, 753, F3, 3, 41) (dual of [(753, 3), 2045, 42]-NRT-code) | [i] | ||
| 5 | Linear OOA(3214, 565, F3, 4, 41) (dual of [(565, 4), 2046, 42]-NRT-code) | [i] | ||
| 6 | Linear OOA(3214, 452, F3, 5, 41) (dual of [(452, 5), 2046, 42]-NRT-code) | [i] | ||