Information on Result #722121
Linear OA(16110, 281, F16, 58) (dual of [281, 171, 59]-code), using construction XX applied to C1 = C([252,50]), C2 = C([5,54]), C3 = C1 + C2 = C([5,50]), and C∩ = C1 ∩ C2 = C([252,54]) based on
- linear OA(1693, 255, F16, 54) (dual of [255, 162, 55]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,50}, and designed minimum distance d ≥ |I|+1 = 55 [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 = {5,6,…,54}, 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 = {−3,−2,…,54}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(1684, 255, F16, 46) (dual of [255, 171, 47]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,50}, and designed minimum distance d ≥ |I|+1 = 47 [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.