Information on Result #617518
Linear OA(2721, 33, F27, 17) (dual of [33, 12, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
- linear OA(2717, 28, F27, 17) (dual of [28, 11, 18]-code or 28-arc in PG(16,27)), using the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2716, 28, F27, 12) (dual of [28, 12, 13]-code), using the narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [1,8], and minimum distance d ≥ |{1,2,3,4,5}| + |{13,22,3,…,0}∖{10,11,12,13}| = 13 (general Roos-bound) [i]
- linear OA(274, 5, F27, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,27)), using
- dual of repetition code with length 5 [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.