Information on Result #737078
Linear OA(3217, 2229, F3, 44) (dual of [2229, 2012, 45]-code), using construction X applied to Ce(43) ⊂ Ce(36) based on
- linear OA(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [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(313, 42, F3, 6) (dual of [42, 29, 7]-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 OOA(3217, 743, F3, 3, 44) (dual of [(743, 3), 2012, 45]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3217, 557, F3, 4, 44) (dual of [(557, 4), 2011, 45]-NRT-code) | [i] | ||