Information on Result #713331
Linear OA(750, 367, F7, 17) (dual of [367, 317, 18]-code), using construction XX applied to C1 = C([42,57]), C2 = C([48,58]), C3 = C1 + C2 = C([48,57]), and C∩ = C1 ∩ C2 = C([42,58]) based on
- linear OA(740, 342, F7, 16) (dual of [342, 302, 17]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {42,43,…,57}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(728, 342, F7, 11) (dual of [342, 314, 12]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {48,49,…,58}, and designed minimum distance d ≥ |I|+1 = 12 [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 = {42,43,…,58}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(725, 342, F7, 10) (dual of [342, 317, 11]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {48,49,…,57}, and designed minimum distance d ≥ |I|+1 = 11 [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(750, 183, F7, 2, 17) (dual of [(183, 2), 316, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(750, 122, F7, 3, 17) (dual of [(122, 3), 316, 18]-NRT-code) | [i] | ||