Information on Result #721723
Linear OA(1679, 277, F16, 40) (dual of [277, 198, 41]-code), using construction XX applied to C1 = C([252,34]), C2 = C([5,36]), C3 = C1 + C2 = C([5,34]), and C∩ = C1 ∩ C2 = C([252,36]) based on
- linear OA(1667, 255, F16, 38) (dual of [255, 188, 39]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,34}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(1660, 255, F16, 32) (dual of [255, 195, 33]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,36}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(1671, 255, F16, 40) (dual of [255, 184, 41]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,36}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(1656, 255, F16, 30) (dual of [255, 199, 31]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,34}, and designed minimum distance d ≥ |I|+1 = 31 [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, 5, F16, 1) (dual of [5, 4, 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.