Information on Result #676893
Linear OA(3244, 807, F3, 56) (dual of [807, 563, 57]-code), using construction X applied to Ce(55) ⊂ Ce(42) based on
- linear OA(3214, 729, F3, 56) (dual of [729, 515, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3166, 729, F3, 43) (dual of [729, 563, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(330, 78, F3, 12) (dual of [78, 48, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(330, 80, F3, 12) (dual of [80, 50, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(330, 80, F3, 12) (dual of [80, 50, 13]-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(3244, 403, F3, 2, 56) (dual of [(403, 2), 562, 57]-NRT-code) | [i] | OOA Folding | |