Information on Result #617569
Linear OA(2728, 36, F27, 21) (dual of [36, 8, 22]-code), using construction X applied to C([0,10]) ⊂ C([1,10]) based on
- linear OA(2721, 28, F27, 21) (dual of [28, 7, 22]-code or 28-arc in PG(20,27)), using the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2720, 28, F27, 13) (dual of [28, 8, 14]-code), using the narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [1,10], and minimum distance d ≥ |{1,2,…,8}| + |{8,19,2,…,0}∖{6,−5,12,7,−4,13,8}| = 14 (general Roos-bound) [i]
- 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]
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.