Information on Result #714074
Linear OA(7108, 371, F7, 39) (dual of [371, 263, 40]-code), using construction XX applied to C1 = C([28,64]), C2 = C([26,58]), C3 = C1 + C2 = C([28,58]), and C∩ = C1 ∩ C2 = C([26,64]) based on
- linear OA(794, 342, F7, 37) (dual of [342, 248, 38]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {28,29,…,64}, and designed minimum distance d ≥ |I|+1 = 38 [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 = {26,27,…,58}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(7100, 342, F7, 39) (dual of [342, 242, 40]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {26,27,…,64}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(779, 342, F7, 31) (dual of [342, 263, 32]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {28,29,…,58}, and designed minimum distance d ≥ |I|+1 = 32 [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(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
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(7109, 372, F7, 39) (dual of [372, 263, 40]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(7108, 185, F7, 2, 39) (dual of [(185, 2), 262, 40]-NRT-code) | [i] | OOA Folding | |