Information on Result #717093
Linear OA(8173, 527, F8, 65) (dual of [527, 354, 66]-code), using construction XX applied to C1 = C([20,81]), C2 = C([17,78]), C3 = C1 + C2 = C([20,78]), and C∩ = C1 ∩ C2 = C([17,81]) based on
- linear OA(8163, 511, F8, 62) (dual of [511, 348, 63]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {20,21,…,81}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(8163, 511, F8, 62) (dual of [511, 348, 63]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {17,18,…,78}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(8169, 511, F8, 65) (dual of [511, 342, 66]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {17,18,…,81}, and designed minimum distance d ≥ |I|+1 = 66 [i]
- linear OA(8157, 511, F8, 59) (dual of [511, 354, 60]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {20,21,…,78}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)) (see above)
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(8173, 263, F8, 2, 65) (dual of [(263, 2), 353, 66]-NRT-code) | [i] | OOA Folding | |