Information on Result #721701
Linear OA(1677, 276, F16, 39) (dual of [276, 199, 40]-code), using construction XX applied to C1 = C([252,33]), C2 = C([5,35]), C3 = C1 + C2 = C([5,33]), and C∩ = C1 ∩ C2 = C([252,35]) based on
- linear OA(1666, 255, F16, 37) (dual of [255, 189, 38]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(1658, 255, F16, 31) (dual of [255, 197, 32]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,35}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(1669, 255, F16, 39) (dual of [255, 186, 40]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,35}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(1655, 255, F16, 29) (dual of [255, 200, 30]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,33}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(167, 17, F16, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,16)), using
- extended Reed–Solomon code RSe(10,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(161, 4, F16, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- Reed–Solomon code RS(15,16) [i]
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), 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.