Information on Result #712800
Linear OA(779, 190, F7, 32) (dual of [190, 111, 33]-code), using construction XX applied to C1 = C([29,56]), C2 = C([35,60]), C3 = C1 + C2 = C([35,56]), and C∩ = C1 ∩ C2 = C([29,60]) based on
- linear OA(763, 171, F7, 28) (dual of [171, 108, 29]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,56}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(767, 171, F7, 26) (dual of [171, 104, 27]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {35,36,…,60}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(770, 171, F7, 32) (dual of [171, 101, 33]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,60}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(757, 171, F7, 22) (dual of [171, 114, 23]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {35,36,…,56}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(75, 8, F7, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,7)), using
- extended Reed–Solomon code RSe(3,7) [i]
- the expurgated narrow-sense BCH-code C(I) with length 8 | 72−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(74, 11, F7, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,7)), 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(779, 95, F7, 2, 32) (dual of [(95, 2), 111, 33]-NRT-code) | [i] | OOA Folding | |