Information on Result #617403
Linear OA(2710, 32, F27, 7) (dual of [32, 22, 8]-code), using construction X applied to C([0,3]) ⊂ C([1,3]) based on
- linear OA(277, 28, F27, 7) (dual of [28, 21, 8]-code or 28-arc in PG(6,27)), using the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(276, 28, F27, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,27)), using the narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(273, 4, F27, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,27) or 4-cap in PG(2,27)), using
- dual of repetition code with length 4 [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.