Information on Result #715285
Linear OA(856, 526, F8, 20) (dual of [526, 470, 21]-code), using construction XX applied to C1 = C([55,72]), C2 = C([59,74]), C3 = C1 + C2 = C([59,72]), 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(843, 511, F8, 16) (dual of [511, 468, 17]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {59,60,…,74}, and designed minimum distance d ≥ |I|+1 = 17 [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(839, 511, F8, 14) (dual of [511, 472, 15]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {59,60,…,72}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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.