Information on Result #1822091
OA(2772, 531527, S27, 16), using (u, u+v)-construction based on
- OA(2711, 82, S27, 8), using
- discarding parts of the base [i] based on linear OA(818, 82, F81, 8) (dual of [82, 74, 9]-code or 82-arc in PG(7,81)), using
- extended Reed–Solomon code RSe(74,81) [i]
- discarding parts of the base [i] based on linear OA(818, 82, F81, 8) (dual of [82, 74, 9]-code or 82-arc in PG(7,81)), using
- linear OA(2761, 531445, F27, 16) (dual of [531445, 531384, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(2761, 531441, F27, 16) (dual of [531441, 531380, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
Mode: Constructive.
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.