Information on Result #690577
Linear OA(9150, 806, F9, 46) (dual of [806, 656, 47]-code), using construction X applied to Ce(45) ⊂ Ce(27) based on
- linear OA(9121, 729, F9, 46) (dual of [729, 608, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(973, 729, F9, 28) (dual of [729, 656, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(929, 77, F9, 17) (dual of [77, 48, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(929, 78, F9, 17) (dual of [78, 49, 18]-code), using
- 4 times truncation [i] based on linear OA(933, 82, F9, 21) (dual of [82, 49, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 4 times truncation [i] based on linear OA(933, 82, F9, 21) (dual of [82, 49, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(929, 78, F9, 17) (dual of [78, 49, 18]-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(9149, 805, F9, 45) (dual of [805, 656, 46]-code) | [i] | Truncation | |
| 2 | Linear OOA(9150, 403, F9, 2, 46) (dual of [(403, 2), 656, 47]-NRT-code) | [i] | OOA Folding | |