Information on Result #714796
Linear OA(869, 89, F8, 43) (dual of [89, 20, 44]-code), using construction XX applied to C1 = C([8,44]), C2 = C([1,35]), C3 = C1 + C2 = C([8,35]), and C∩ = C1 ∩ C2 = C([1,44]) based on
- linear OA(850, 63, F8, 37) (dual of [63, 13, 38]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {8,9,…,44}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(847, 63, F8, 35) (dual of [63, 16, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(854, 63, F8, 44) (dual of [63, 9, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(841, 63, F8, 28) (dual of [63, 22, 29]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {8,9,…,35}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(810, 17, F8, 8) (dual of [17, 7, 9]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
- extended Reed–Solomon code RSe(4,8) [i]
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.