Information on Result #702070
Linear OA(2256, 300, F2, 97) (dual of [300, 44, 98]-code), using construction XX applied to C1 = C([161,0]), C2 = C([171,4]), C3 = C1 + C2 = C([171,0]), and C∩ = C1 ∩ C2 = C([161,4]) based on
- linear OA(2227, 255, F2, 95) (dual of [255, 28, 96]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−94,−93,…,0}, and designed minimum distance d ≥ |I|+1 = 96 [i]
- linear OA(2217, 255, F2, 89) (dual of [255, 38, 90]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,4}, and designed minimum distance d ≥ |I|+1 = 90 [i]
- linear OA(2235, 255, F2, 99) (dual of [255, 20, 100]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−94,−93,…,4}, and designed minimum distance d ≥ |I|+1 = 100 [i]
- linear OA(2209, 255, F2, 85) (dual of [255, 46, 86]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,0}, and designed minimum distance d ≥ |I|+1 = 86 [i]
- linear OA(216, 32, F2, 7) (dual of [32, 16, 8]-code), using
- Reed–Muller code RM(2,5) [i]
- linear OA(25, 13, F2, 3) (dual of [13, 8, 4]-code or 13-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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.