Information on Result #613705
Linear OA(525, 31, F5, 15) (dual of [31, 6, 16]-code), using construction X applied to C([0,7]) ⊂ C([1,7]) based on
- linear OA(521, 26, F5, 15) (dual of [26, 5, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 26 | 54−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(520, 26, F5, 10) (dual of [26, 6, 11]-code), using the narrow-sense BCH-code C(I) with length 26 | 54−1, defining interval I = [1,7], and minimum distance d ≥ |{1,2,3,4}| + |{0,9,18,…,3}∖{9,10,11}| = 11 (general Roos-bound) [i]
- linear OA(54, 5, F5, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,5)), using
- dual of repetition code with length 5 [i]
- Reed–Solomon code RS(1,5) [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.