Information on Result #717097
Linear OA(8172, 523, F8, 65) (dual of [523, 351, 66]-code), using construction XX applied to C1 = C([19,81]), C2 = C([17,78]), C3 = C1 + C2 = C([19,78]), and C∩ = C1 ∩ C2 = C([17,81]) based on
- linear OA(8166, 511, F8, 63) (dual of [511, 345, 64]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {19,20,…,81}, and designed minimum distance d ≥ |I|+1 = 64 [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(8160, 511, F8, 60) (dual of [511, 351, 61]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {19,20,…,78}, and designed minimum distance d ≥ |I|+1 = 61 [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(81, 4, F8, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), 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
None.