Information on Result #712626
Linear OA(766, 121, F7, 30) (dual of [121, 55, 31]-code), using construction XX applied to C1 = C([12,40]), C2 = C([14,41]), C3 = C1 + C2 = C([14,40]), and C∩ = C1 ∩ C2 = C([12,41]) based on
- linear OA(762, 114, F7, 29) (dual of [114, 52, 30]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {12,13,…,40}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(762, 114, F7, 28) (dual of [114, 52, 29]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {14,15,…,41}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(765, 114, F7, 30) (dual of [114, 49, 31]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {12,13,…,41}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(759, 114, F7, 27) (dual of [114, 55, 28]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {14,15,…,40}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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(766, 60, F7, 2, 30) (dual of [(60, 2), 54, 31]-NRT-code) | [i] | OOA Folding | |