Information on Result #715058
Linear OA(849, 542, F8, 15) (dual of [542, 493, 16]-code), using construction XX applied to C1 = C([3,14]), C2 = C([0,8]), C3 = C1 + C2 = C([3,8]), and C∩ = C1 ∩ C2 = C([0,14]) based on
- linear OA(836, 511, F8, 12) (dual of [511, 475, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {3,4,…,14}, and designed minimum distance d ≥ |I|+1 = 13 [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(840, 511, F8, 15) (dual of [511, 471, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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.