Information on Result #666672
Linear OA(27103, 785, F27, 38) (dual of [785, 682, 39]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2712, 28, F27, 12) (dual of [28, 16, 13]-code or 28-arc in PG(11,27)), using
- extended Reed–Solomon code RSe(16,27) [i]
- linear OA(2719, 28, F27, 19) (dual of [28, 9, 20]-code or 28-arc in PG(18,27)), using
- extended Reed–Solomon code RSe(9,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(2772, 729, F27, 38) (dual of [729, 657, 39]-code), using
- an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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.