Information on Result #712969
Linear OA(799, 195, F7, 41) (dual of [195, 96, 42]-code), using construction XX applied to C1 = C([166,33]), C2 = C([1,35]), C3 = C1 + C2 = C([1,33]), and C∩ = C1 ∩ C2 = C([166,35]) based on
- linear OA(788, 171, F7, 39) (dual of [171, 83, 40]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−5,−4,…,33}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(778, 171, F7, 35) (dual of [171, 93, 36]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(791, 171, F7, 41) (dual of [171, 80, 42]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−5,−4,…,35}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(775, 171, F7, 33) (dual of [171, 96, 34]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(77, 20, F7, 5) (dual of [20, 13, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- 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
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(799, 65, F7, 3, 41) (dual of [(65, 3), 96, 42]-NRT-code) | [i] | OOA Folding | |