Information on Result #716197
Linear OA(8120, 538, F8, 43) (dual of [538, 418, 44]-code), using construction XX applied to C1 = C([32,72]), C2 = C([38,74]), C3 = C1 + C2 = C([38,72]), and C∩ = C1 ∩ C2 = C([32,74]) based on
- linear OA(8108, 511, F8, 41) (dual of [511, 403, 42]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {32,33,…,72}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {38,39,…,74}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(8112, 511, F8, 43) (dual of [511, 399, 44]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {32,33,…,74}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(893, 511, F8, 35) (dual of [511, 418, 36]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {38,39,…,72}, and designed minimum distance d ≥ |I|+1 = 36 [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.