Information on Result #714050
Linear OA(7105, 371, F7, 38) (dual of [371, 266, 39]-code), using construction XX applied to C1 = C([29,64]), C2 = C([27,58]), C3 = C1 + C2 = C([29,58]), and C∩ = C1 ∩ C2 = C([27,64]) based on
- linear OA(791, 342, F7, 36) (dual of [342, 251, 37]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,64}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(782, 342, F7, 32) (dual of [342, 260, 33]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {27,28,…,58}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(797, 342, F7, 38) (dual of [342, 245, 39]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {27,28,…,64}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(776, 342, F7, 30) (dual of [342, 266, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,58}, and designed minimum distance d ≥ |I|+1 = 31 [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(7106, 372, F7, 38) (dual of [372, 266, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(7105, 185, F7, 2, 38) (dual of [(185, 2), 265, 39]-NRT-code) | [i] | OOA Folding | |