Information on Result #715051
Linear OA(840, 533, F8, 13) (dual of [533, 493, 14]-code), using construction XX applied to C1 = C([3,12]), C2 = C([0,8]), C3 = C1 + C2 = C([3,8]), and C∩ = C1 ∩ C2 = C([0,12]) based on
- linear OA(830, 511, F8, 10) (dual of [511, 481, 11]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {3,4,…,12}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(822, 511, F8, 9) (dual of [511, 489, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(834, 511, F8, 13) (dual of [511, 477, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(818, 511, F8, 6) (dual of [511, 493, 7]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {3,4,…,8}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), using
- linear OA(82, 6, F8, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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.