Information on Result #715509
Linear OA(881, 538, F8, 28) (dual of [538, 457, 29]-code), using construction XX applied to C1 = C([47,72]), C2 = C([53,74]), C3 = C1 + C2 = C([53,72]), and C∩ = C1 ∩ C2 = C([47,74]) based on
- linear OA(869, 511, F8, 26) (dual of [511, 442, 27]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {47,48,…,72}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {53,54,…,74}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {47,48,…,74}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(854, 511, F8, 20) (dual of [511, 457, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {53,54,…,72}, and designed minimum distance d ≥ |I|+1 = 21 [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.