Information on Result #715868
Linear OA(8102, 538, F8, 36) (dual of [538, 436, 37]-code), using construction XX applied to C1 = C([39,72]), C2 = C([45,74]), C3 = C1 + C2 = C([45,72]), and C∩ = C1 ∩ C2 = C([39,74]) based on
- linear OA(890, 511, F8, 34) (dual of [511, 421, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {39,40,…,72}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(879, 511, F8, 30) (dual of [511, 432, 31]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {45,46,…,74}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {39,40,…,74}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(875, 511, F8, 28) (dual of [511, 436, 29]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {45,46,…,72}, and designed minimum distance d ≥ |I|+1 = 29 [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, 5, F8, 1) (dual of [5, 4, 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.