Information on Result #666613
Linear OA(27105, 531465, F27, 22) (dual of [531465, 531360, 23]-code), using generalized (u, u+v)-construction based on
- linear OA(275, 8, F27, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- linear OA(277, 8, F27, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,27)), using
- dual of repetition code with length 8 [i]
- linear OA(278, 8, F27, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,27)), using
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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.