Information on Result #716264
Linear OA(8109, 523, F8, 41) (dual of [523, 414, 42]-code), using construction XX applied to C1 = C([43,81]), C2 = C([41,78]), C3 = C1 + C2 = C([43,78]), and C∩ = C1 ∩ C2 = C([41,81]) based on
- linear OA(8103, 511, F8, 39) (dual of [511, 408, 40]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,81}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(8100, 511, F8, 38) (dual of [511, 411, 39]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,78}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(8106, 511, F8, 41) (dual of [511, 405, 42]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,81}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(897, 511, F8, 36) (dual of [511, 414, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,78}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- linear OA(81, 4, F8, 1) (dual of [4, 3, 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.