Information on Result #614737
Linear OA(793, 101, F7, 57) (dual of [101, 8, 58]-code), using construction X applied to C([0,28]) ⊂ C([1,28]) based on
- linear OA(779, 86, F7, 57) (dual of [86, 7, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
- linear OA(778, 86, F7, 42) (dual of [86, 8, 43]-code), using the narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [1,28], and minimum distance d ≥ |{2,39,76,…,4}| + |{39,80,35,…,0}∖{4,−33,16,−21,28,−9,40,3,−34,15,−22,27,−10,39}| = 43 (general Roos-bound) [i]
- linear OA(714, 15, F7, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,7)), using
- dual of repetition code with length 15 [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.