Information on Result #617733
Linear OA(2761, 86, F27, 33) (dual of [86, 25, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
- linear OA(2749, 73, F27, 33) (dual of [73, 24, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 73 | 274−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2748, 73, F27, 20) (dual of [73, 25, 21]-code), using the narrow-sense BCH-code C(I) with length 73 | 274−1, defining interval I = [1,16], and minimum distance d ≥ |{1,2,…,12}| + |{23,41,59,…,0}∖{−18,−36,19,−35,20,−34,21,−33,22,−32,23}| = 21 (general Roos-bound) [i]
- linear OA(2712, 13, F27, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,27)), using
- dual of repetition code with length 13 [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.