Information on Result #690249
Linear OA(937, 741, F9, 13) (dual of [741, 704, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
- linear OA(934, 729, F9, 13) (dual of [729, 695, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(925, 729, F9, 10) (dual of [729, 704, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(93, 12, F9, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-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(937, 247, F9, 3, 13) (dual of [(247, 3), 704, 14]-NRT-code) | [i] | OOA Folding | |