Information on Result #722070
Linear OA(16106, 281, F16, 56) (dual of [281, 175, 57]-code), using construction XX applied to C1 = C([254,50]), C2 = C([7,54]), C3 = C1 + C2 = C([7,50]), and C∩ = C1 ∩ C2 = C([254,54]) based on
- linear OA(1689, 255, F16, 52) (dual of [255, 166, 53]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,50}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(1687, 255, F16, 48) (dual of [255, 168, 49]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {7,8,…,54}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(1696, 255, F16, 56) (dual of [255, 159, 57]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,54}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(1680, 255, F16, 44) (dual of [255, 175, 45]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {7,8,…,50}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- linear OA(163, 10, F16, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,16) or 10-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), 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.