Information on Result #720840
Linear OA(9132, 755, F9, 47) (dual of [755, 623, 48]-code), using construction XX applied to C1 = C([46,90]), C2 = C([52,92]), C3 = C1 + C2 = C([52,90]), and C∩ = C1 ∩ C2 = C([46,92]) based on
- linear OA(9120, 728, F9, 45) (dual of [728, 608, 46]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {46,47,…,90}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(9109, 728, F9, 41) (dual of [728, 619, 42]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {52,53,…,92}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(9124, 728, F9, 47) (dual of [728, 604, 48]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {46,47,…,92}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(9105, 728, F9, 39) (dual of [728, 623, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {52,53,…,90}, and designed minimum distance d ≥ |I|+1 = 40 [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, 5, F9, 1) (dual of [5, 4, 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(9132, 377, F9, 2, 47) (dual of [(377, 2), 622, 48]-NRT-code) | [i] | OOA Folding | |