Information on Result #715211
Linear OA(846, 523, F8, 17) (dual of [523, 477, 18]-code), using construction XX applied to C1 = C([67,81]), C2 = C([65,78]), C3 = C1 + C2 = C([67,78]), and C∩ = C1 ∩ C2 = C([65,81]) based on
- linear OA(840, 511, F8, 15) (dual of [511, 471, 16]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {67,68,…,81}, and designed minimum distance d ≥ |I|+1 = 16 [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 = {65,66,…,78}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(843, 511, F8, 17) (dual of [511, 468, 18]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,81}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(834, 511, F8, 12) (dual of [511, 477, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {67,68,…,78}, and designed minimum distance d ≥ |I|+1 = 13 [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.