Information on Result #721442
Linear OA(1670, 111, F16, 40) (dual of [111, 41, 41]-code), using construction XX applied to C1 = C([12,45]), C2 = C([6,39]), C3 = C1 + C2 = C([12,39]), and C∩ = C1 ∩ C2 = C([6,45]) based on
- linear OA(1652, 85, F16, 34) (dual of [85, 33, 35]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {12,13,…,45}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(1652, 85, F16, 34) (dual of [85, 33, 35]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,39}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(1658, 85, F16, 40) (dual of [85, 27, 41]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,45}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(1644, 85, F16, 28) (dual of [85, 41, 29]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {12,13,…,39}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(165, 13, F16, 5) (dual of [13, 8, 6]-code or 13-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- linear OA(165, 13, F16, 5) (dual of [13, 8, 6]-code or 13-arc in PG(4,16)) (see above)
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.