Information on Result #714532
Linear OA(839, 79, F8, 21) (dual of [79, 40, 22]-code), using construction XX applied to C1 = C([0,17]), C2 = C([5,20]), C3 = C1 + C2 = C([5,17]), and C∩ = C1 ∩ C2 = C([0,20]) based on
- linear OA(828, 63, F8, 18) (dual of [63, 35, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(828, 63, F8, 16) (dual of [63, 35, 17]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {5,6,…,20}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(833, 63, F8, 21) (dual of [63, 30, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(823, 63, F8, 13) (dual of [63, 40, 14]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {5,6,…,17}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(84, 9, F8, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,8)), using
- extended Reed–Solomon code RSe(5,8) [i]
- linear OA(82, 7, F8, 2) (dual of [7, 5, 3]-code or 7-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.