Information on Result #715890
Linear OA(888, 523, F8, 33) (dual of [523, 435, 34]-code), using construction XX applied to C1 = C([51,81]), C2 = C([49,78]), C3 = C1 + C2 = C([51,78]), and C∩ = C1 ∩ C2 = C([49,81]) based on
- linear OA(882, 511, F8, 31) (dual of [511, 429, 32]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {51,52,…,81}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(879, 511, F8, 30) (dual of [511, 432, 31]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {49,50,…,78}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(885, 511, F8, 33) (dual of [511, 426, 34]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {49,50,…,81}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(876, 511, F8, 28) (dual of [511, 435, 29]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {51,52,…,78}, and designed minimum distance d ≥ |I|+1 = 29 [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.