Information on Result #720863
Linear OA(9120, 742, F9, 44) (dual of [742, 622, 45]-code), using construction XX applied to C1 = C([726,39]), C2 = C([0,41]), C3 = C1 + C2 = C([0,39]), and C∩ = C1 ∩ C2 = C([726,41]) based on
- linear OA(9112, 728, F9, 42) (dual of [728, 616, 43]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−2,−1,…,39}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(9112, 728, F9, 42) (dual of [728, 616, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(9118, 728, F9, 44) (dual of [728, 610, 45]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−2,−1,…,41}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code) (see above)
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(9120, 371, F9, 2, 44) (dual of [(371, 2), 622, 45]-NRT-code) | [i] | OOA Folding | |