Information on Result #713717
Linear OA(797, 393, F7, 31) (dual of [393, 296, 32]-code), using construction XX applied to C1 = C([334,17]), C2 = C([0,22]), C3 = C1 + C2 = C([0,17]), and C∩ = C1 ∩ C2 = C([334,22]) based on
- linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,17}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(779, 342, F7, 31) (dual of [342, 263, 32]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,22}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(746, 342, F7, 18) (dual of [342, 296, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(712, 33, F7, 7) (dual of [33, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), using
- the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), using
- linear OA(76, 18, F7, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-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(797, 131, F7, 3, 31) (dual of [(131, 3), 296, 32]-NRT-code) | [i] | OOA Folding | |