Information on Result #713601
Linear OA(778, 380, F7, 26) (dual of [380, 302, 27]-code), using construction XX applied to C1 = C([43,64]), C2 = C([39,58]), C3 = C1 + C2 = C([43,58]), and C∩ = C1 ∩ C2 = C([39,64]) based on
- linear OA(755, 342, F7, 22) (dual of [342, 287, 23]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {43,44,…,64}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {39,40,…,58}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- 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 = {39,40,…,64}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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 = {43,44,…,58}, and designed minimum distance d ≥ |I|+1 = 17 [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(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), 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 OA(779, 381, F7, 26) (dual of [381, 302, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(778, 190, F7, 2, 26) (dual of [(190, 2), 302, 27]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(778, 126, F7, 3, 26) (dual of [(126, 3), 300, 27]-NRT-code) | [i] | ||