Information on Result #713543
Linear OA(768, 367, F7, 24) (dual of [367, 299, 25]-code), using construction XX applied to C1 = C([35,57]), C2 = C([41,58]), C3 = C1 + C2 = C([41,57]), and C∩ = C1 ∩ C2 = C([35,58]) based on
- linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,57}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(746, 342, F7, 18) (dual of [342, 296, 19]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {41,42,…,58}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,58}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(743, 342, F7, 17) (dual of [342, 299, 18]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {41,42,…,57}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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), using
- 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
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(768, 183, F7, 2, 24) (dual of [(183, 2), 298, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(768, 122, F7, 3, 24) (dual of [(122, 3), 298, 25]-NRT-code) | [i] | ||