Information on Result #690578
Linear OA(9147, 806, F9, 44) (dual of [806, 659, 45]-code), using construction X applied to Ce(43) ⊂ Ce(25) based on
- linear OA(9118, 729, F9, 44) (dual of [729, 611, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(970, 729, F9, 26) (dual of [729, 659, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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 OOA(9147, 403, F9, 2, 44) (dual of [(403, 2), 659, 45]-NRT-code) | [i] | OOA Folding | |