Information on Result #617901
Linear OA(27107, 169, F27, 51) (dual of [169, 62, 52]-code), using construction X applied to C([0,25]) ⊂ C([1,25]) based on
- linear OA(2785, 146, F27, 51) (dual of [146, 61, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound) [i]
- linear OA(2784, 146, F27, 28) (dual of [146, 62, 29]-code), using the narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [1,25], and minimum distance d ≥ |{1,2,…,20}| + |{−53,−24,5,…,0}∖{−29,−58,59,30,−28,−57,60,31,−27,−56,61,32,−55,62,33,−54,63,34,−53}| = 29 (general Roos-bound) [i]
- linear OA(2722, 23, F27, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,27)), using
- dual of repetition code with length 23 [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.