Information on Result #690574
Linear OA(9144, 800, F9, 44) (dual of [800, 656, 45]-code), using construction X applied to Ce(43) ⊂ Ce(27) 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(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(926, 71, F9, 15) (dual of [71, 45, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(926, 80, F9, 15) (dual of [80, 54, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(926, 80, F9, 15) (dual of [80, 54, 16]-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(9145, 801, F9, 44) (dual of [801, 656, 45]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9146, 802, F9, 44) (dual of [802, 656, 45]-code) | [i] | ||
| 3 | Linear OOA(9144, 400, F9, 2, 44) (dual of [(400, 2), 656, 45]-NRT-code) | [i] | OOA Folding | |