Information on Result #722134
Linear OA(16112, 287, F16, 58) (dual of [287, 175, 59]-code), using construction XX applied to C1 = C([254,50]), C2 = C([7,56]), C3 = C1 + C2 = C([7,50]), and C∩ = C1 ∩ C2 = C([254,56]) 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(1691, 255, F16, 50) (dual of [255, 164, 51]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {7,8,…,56}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(16100, 255, F16, 58) (dual of [255, 155, 59]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,56}, and designed minimum distance d ≥ |I|+1 = 59 [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(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [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.
Other Results with Identical Parameters
None.
Depending Results
None.