Information on Result #714035
Linear OA(785, 348, F7, 33) (dual of [348, 263, 34]-code), using construction XX applied to C1 = C([341,30]), C2 = C([0,31]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([341,31]) based on
- linear OA(782, 342, F7, 32) (dual of [342, 260, 33]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(782, 342, F7, 32) (dual of [342, 260, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(785, 342, F7, 33) (dual of [342, 257, 34]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−1,0,…,31}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(779, 342, F7, 31) (dual of [342, 263, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- 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
- linear OA(70, 3, F7, 0) (dual of [3, 3, 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(785, 174, F7, 2, 33) (dual of [(174, 2), 263, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(785, 116, F7, 3, 33) (dual of [(116, 3), 263, 34]-NRT-code) | [i] | ||