Information on Result #722099
Linear OA(16108, 281, F16, 57) (dual of [281, 173, 58]-code), using construction XX applied to C1 = C([253,50]), C2 = C([6,54]), C3 = C1 + C2 = C([6,50]), and C∩ = C1 ∩ C2 = C([253,54]) based on
- linear OA(1691, 255, F16, 53) (dual of [255, 164, 54]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,50}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(1689, 255, F16, 49) (dual of [255, 166, 50]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,54}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(1698, 255, F16, 57) (dual of [255, 157, 58]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,54}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(1682, 255, F16, 45) (dual of [255, 173, 46]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,50}, and designed minimum distance d ≥ |I|+1 = 46 [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.