Information on Result #2279313
Linear OA(7103, 388, F7, 34) (dual of [388, 285, 35]-code), using 1 times code embedding in larger space based on linear OA(7102, 387, F7, 34) (dual of [387, 285, 35]-code), using
- construction XX applied to C1 = C([337,22]), C2 = C([1,28]), C3 = C1 + C2 = C([1,22]), and C∩ = C1 ∩ C2 = C([337,28]) [i] based on
- linear OA(773, 342, F7, 28) (dual of [342, 269, 29]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−5,−4,…,22}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(772, 342, F7, 28) (dual of [342, 270, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(788, 342, F7, 34) (dual of [342, 254, 35]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−5,−4,…,28}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(757, 342, F7, 22) (dual of [342, 285, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(77, 23, F7, 5) (dual of [23, 16, 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(77, 22, F7, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-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(7103, 194, F7, 2, 34) (dual of [(194, 2), 285, 35]-NRT-code) | [i] | OOA Folding | |