Information on Result #613620
Linear OA(548, 79, F5, 10) (dual of [79, 31, 11]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- linear OA(546, 76, F5, 10) (dual of [76, 30, 11]-code), using the expurgated narrow-sense BCH-code C(I) with length 76 | 59−1, defining interval I = [0,6], and minimum distance d ≥ |{−3,−2,…,6}|+1 = 11 (BCH-bound) [i]
- linear OA(545, 76, F5, 7) (dual of [76, 31, 8]-code), using the narrow-sense BCH-code C(I) with length 76 | 59−1, defining interval I = [1,6], and minimum distance d ≥ |{1,2,3,4,5}| + |{0,33,66,…,−30}∖{33,−10,−20,−30}| = 8 (general Roos-bound) [i]
- linear OA(52, 3, F5, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,5)), 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.