Information on Result #851091
Linear OOA(955, 380, F9, 2, 17) (dual of [(380, 2), 705, 18]-NRT-code), using OOA 2-folding based on linear OA(955, 760, F9, 17) (dual of [760, 705, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(955, 761, F9, 17) (dual of [761, 706, 18]-code), using
- construction XX applied to C1 = C([722,7]), C2 = C([0,10]), C3 = C1 + C2 = C([0,7]), and C∩ = C1 ∩ C2 = C([722,10]) [i] based on
- linear OA(940, 728, F9, 14) (dual of [728, 688, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,7}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,10}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(922, 728, F9, 8) (dual of [728, 706, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(97, 25, F9, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- construction XX applied to C1 = C([722,7]), C2 = C([0,10]), C3 = C1 + C2 = C([0,7]), and C∩ = C1 ∩ C2 = C([722,10]) [i] based on
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.