Information on Result #717722
Linear OA(946, 99, F9, 24) (dual of [99, 53, 25]-code), using construction XX applied to C1 = C([0,19]), C2 = C([5,23]), C3 = C1 + C2 = C([5,19]), and C∩ = C1 ∩ C2 = C([0,23]) based on
- linear OA(932, 80, F9, 20) (dual of [80, 48, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(934, 80, F9, 19) (dual of [80, 46, 20]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {5,6,…,23}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(939, 80, F9, 24) (dual of [80, 41, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(927, 80, F9, 15) (dual of [80, 53, 16]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {5,6,…,19}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [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.