Information on Result #721225
Linear OA(9138, 828, F9, 41) (dual of [828, 690, 42]-code), using construction XX applied to C1 = C([69,108]), C2 = C([68,107]), C3 = C1 + C2 = C([69,107]), and C∩ = C1 ∩ C2 = C([68,108]) based on
- 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 = {69,70,…,108}, and designed minimum distance d ≥ |I|+1 = 41 [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 = {68,69,…,107}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(9138, 820, F9, 41) (dual of [820, 682, 42]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {68,69,…,108}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- 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 = {69,70,…,107}, and designed minimum distance d ≥ |I|+1 = 40 [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
- linear OA(90, 4, F9, 0) (dual of [4, 4, 1]-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(9138, 414, F9, 2, 41) (dual of [(414, 2), 690, 42]-NRT-code) | [i] | OOA Folding | |