Information on Result #737082
Linear OA(3203, 2229, F3, 41) (dual of [2229, 2026, 42]-code), using construction X applied to Ce(40) ⊂ Ce(33) 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(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3203, 743, F3, 3, 41) (dual of [(743, 3), 2026, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3203, 557, F3, 4, 41) (dual of [(557, 4), 2025, 42]-NRT-code) | [i] | ||