Information on Result #720842
Linear OA(9131, 753, F9, 47) (dual of [753, 622, 48]-code), using construction XX applied to C1 = C([46,91]), C2 = C([52,92]), C3 = C1 + C2 = C([52,91]), and C∩ = C1 ∩ C2 = C([46,92]) based on
- linear OA(9121, 728, F9, 46) (dual of [728, 607, 47]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {46,47,…,91}, and designed minimum distance d ≥ |I|+1 = 47 [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(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {52,53,…,91}, and designed minimum distance d ≥ |I|+1 = 41 [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(90, 3, F9, 0) (dual of [3, 3, 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(9131, 376, F9, 2, 47) (dual of [(376, 2), 621, 48]-NRT-code) | [i] | OOA Folding | |