Information on Result #617661
Linear OA(2761, 159, F27, 27) (dual of [159, 98, 28]-code), using construction X applied to C([0,13]) ⊂ C([1,13]) based on
- linear OA(2749, 146, F27, 27) (dual of [146, 97, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(2748, 146, F27, 14) (dual of [146, 98, 15]-code), using the narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [1,13], and minimum distance d ≥ |{1,2,…,13}| + |{0,11,22,…,143}∖{11,22,33,44,55,66,−69,−58,−47,−36,−25,−3}| = 15 (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.