Information on Result #722274
Linear OA(16127, 295, F16, 65) (dual of [295, 168, 66]-code), using construction XX applied to C1 = C([247,50]), C2 = C([0,56]), C3 = C1 + C2 = C([0,50]), and C∩ = C1 ∩ C2 = C([247,56]) based on
- linear OA(16103, 255, F16, 59) (dual of [255, 152, 60]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−8,−7,…,50}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(1698, 255, F16, 57) (dual of [255, 157, 58]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,56], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(16114, 255, F16, 65) (dual of [255, 141, 66]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−8,−7,…,56}, and designed minimum distance d ≥ |I|+1 = 66 [i]
- linear OA(1687, 255, F16, 51) (dual of [255, 168, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(168, 24, F16, 7) (dual of [24, 16, 8]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- 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.