Information on Result #617870
Linear OA(2799, 169, F27, 47) (dual of [169, 70, 48]-code), using construction X applied to C([0,23]) ⊂ C([1,23]) based on
- linear OA(2777, 146, F27, 47) (dual of [146, 69, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,23], and minimum distance d ≥ |{−23,−22,…,23}|+1 = 48 (BCH-bound) [i]
- linear OA(2776, 146, F27, 24) (dual of [146, 70, 25]-code), using the narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [1,23], and minimum distance d ≥ |{1,2,…,23}| + |{0,23,46,…,−55}∖{23,46,69,−54,−31,−8,15,38,61,−62,−39,−16,7,30,53,−70,−47,−1,22,45,68,−55}| = 25 (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.