Information on Result #617855
Linear OA(2793, 167, F27, 45) (dual of [167, 74, 46]-code), using construction X applied to C([0,22]) ⊂ C([1,22]) based on
- linear OA(2773, 146, F27, 45) (dual of [146, 73, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(2772, 146, F27, 24) (dual of [146, 74, 25]-code), using the narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [1,22], and minimum distance d ≥ |{1,2,…,21}| + |{55,78,101,…,0}∖{−46,−69,54,31,8,−15,−38,−61,62,39,16,−7,−30,−53,70,47,24,−45,−68,55}| = 25 (general Roos-bound) [i]
- linear OA(2720, 21, F27, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,27)), using
- dual of repetition code with length 21 [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.