Information on Result #720276
Linear OA(9105, 754, F9, 37) (dual of [754, 649, 38]-code), using construction XX applied to C1 = C([66,100]), C2 = C([64,94]), C3 = C1 + C2 = C([66,94]), and C∩ = C1 ∩ C2 = C([64,100]) based on
- linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,100}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,94}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,100}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(979, 728, F9, 29) (dual of [728, 649, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,94}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(91, 4, F9, 1) (dual of [4, 3, 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
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(9105, 377, F9, 2, 37) (dual of [(377, 2), 649, 38]-NRT-code) | [i] | OOA Folding | |