Information on Result #851074
Linear OOA(933, 46, F9, 2, 17) (dual of [(46, 2), 59, 18]-NRT-code), using OOA 2-folding based on linear OA(933, 92, F9, 17) (dual of [92, 59, 18]-code), using
- construction XX applied to C1 = C([76,11]), C2 = C([0,12]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([76,12]) [i] based on
- linear OA(928, 80, F9, 16) (dual of [80, 52, 17]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−4,−3,…,11}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(922, 80, F9, 13) (dual of [80, 58, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(930, 80, F9, 17) (dual of [80, 50, 18]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−4,−3,…,12}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(920, 80, F9, 12) (dual of [80, 60, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.