Information on Result #721207
Linear OA(9135, 833, F9, 40) (dual of [833, 698, 41]-code), using construction XX applied to C1 = C([71,109]), C2 = C([70,107]), C3 = C1 + C2 = C([71,107]), and C∩ = C1 ∩ C2 = C([70,109]) based on
- linear OA(9130, 820, F9, 39) (dual of [820, 690, 40]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {71,72,…,109}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(9126, 820, F9, 38) (dual of [820, 694, 39]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {70,71,…,107}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(9134, 820, F9, 40) (dual of [820, 686, 41]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {70,71,…,109}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(9122, 820, F9, 37) (dual of [820, 698, 38]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {71,72,…,107}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- linear OA(90, 4, F9, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(9135, 416, F9, 2, 40) (dual of [(416, 2), 697, 41]-NRT-code) | [i] | OOA Folding | |