Information on Result #716129
Linear OA(8114, 537, F8, 41) (dual of [537, 423, 42]-code), using construction XX applied to C1 = C([43,81]), C2 = C([41,75]), C3 = C1 + C2 = C([43,75]), and C∩ = C1 ∩ C2 = C([41,81]) based on
- linear OA(8103, 511, F8, 39) (dual of [511, 408, 40]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,81}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(891, 511, F8, 35) (dual of [511, 420, 36]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,75}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8106, 511, F8, 41) (dual of [511, 405, 42]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,81}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(888, 511, F8, 33) (dual of [511, 423, 34]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,75}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- 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.