Information on Result #662682
Linear OA(5120, 78140, F5, 19) (dual of [78140, 78020, 20]-code), using generalized (u, u+v)-construction based on
- linear OA(54, 5, F5, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,5)), using
- dual of repetition code with length 5 [i]
- Reed–Solomon code RS(1,5) [i]
- linear OA(55, 5, F5, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,5)), using
- linear OA(55, 5, F5, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,5)) (see above)
- linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
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.