Information on Result #676898
Linear OA(3227, 802, F3, 51) (dual of [802, 575, 52]-code), using construction X applied to Ce(51) ⊂ Ce(39) based on
- linear OA(3202, 729, F3, 52) (dual of [729, 527, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3154, 729, F3, 40) (dual of [729, 575, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(325, 73, F3, 10) (dual of [73, 48, 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 OOA(3227, 401, F3, 2, 51) (dual of [(401, 2), 575, 52]-NRT-code) | [i] | OOA Folding | |