Information on Result #686219
Linear OA(8166, 2097218, F8, 24) (dual of [2097218, 2097052, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,8]) based on
- linear OA(8155, 2097153, F8, 25) (dual of [2097153, 2096998, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(811, 65, F8, 6) (dual of [65, 54, 7]-code), using
- base reduction for projective spaces (embedding PG(5,64) in PG(10,8)) [i] based on linear OA(646, 65, F64, 6) (dual of [65, 59, 7]-code or 65-arc in PG(5,64)), using
- extended Reed–Solomon code RSe(59,64) [i]
- base reduction for projective spaces (embedding PG(5,64) in PG(10,8)) [i] based on linear OA(646, 65, F64, 6) (dual of [65, 59, 7]-code or 65-arc in PG(5,64)), 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.