Information on Result #676880
Linear OA(3241, 798, F3, 56) (dual of [798, 557, 57]-code), using construction X applied to Ce(55) ⊂ Ce(43) 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(3172, 729, F3, 44) (dual of [729, 557, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(327, 69, F3, 11) (dual of [69, 42, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(327, 80, F3, 11) (dual of [80, 53, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(327, 80, F3, 11) (dual of [80, 53, 12]-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(3242, 799, F3, 56) (dual of [799, 557, 57]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3243, 800, F3, 56) (dual of [800, 557, 57]-code) | [i] | ||
| 3 | Linear OOA(3241, 399, F3, 2, 56) (dual of [(399, 2), 557, 57]-NRT-code) | [i] | OOA Folding | |