Information on Result #715190
Linear OA(860, 538, F8, 20) (dual of [538, 478, 21]-code), using construction XX applied to C1 = C([55,72]), C2 = C([61,74]), C3 = C1 + C2 = C([61,72]), and C∩ = C1 ∩ C2 = C([55,74]) based on
- linear OA(848, 511, F8, 18) (dual of [511, 463, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,72}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(837, 511, F8, 14) (dual of [511, 474, 15]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {61,62,…,74}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(852, 511, F8, 20) (dual of [511, 459, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,74}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(833, 511, F8, 12) (dual of [511, 478, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {61,62,…,72}, and designed minimum distance d ≥ |I|+1 = 13 [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.