Information on Result #613942
Linear OA(559, 74, F5, 31) (dual of [74, 15, 32]-code), using construction X applied to C([0,15]) ⊂ C([1,15]) based on
- linear OA(549, 63, F5, 31) (dual of [63, 14, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 63 | 56−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(548, 63, F5, 20) (dual of [63, 15, 21]-code), using the narrow-sense BCH-code C(I) with length 63 | 56−1, defining interval I = [1,15], and minimum distance d ≥ |{3,28,53,…,1}| + |{0,22,44,…,−23}∖{−19,3,6,28,31,−10,−7,15,18,−23}| = 21 (general Roos-bound) [i]
- linear OA(510, 11, F5, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,5)), using
- dual of repetition code with length 11 [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.