Information on Result #614268
Linear OA(715, 53, F7, 7) (dual of [53, 38, 8]-code), using construction X applied to C([0,3]) ⊂ C([1,3]) based on
- linear OA(713, 50, F7, 7) (dual of [50, 37, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(712, 50, F7, 4) (dual of [50, 38, 5]-code), using the narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [1,3], and minimum distance d ≥ |{1,2,3}| + |{0,23,46,19}∖{23,19}| = 5 (general Roos-bound) [i]
- linear OA(72, 3, F7, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,7)), using
- dual of repetition code with length 3 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.