Information on Result #614038
Linear OA(572, 82, F5, 42) (dual of [82, 10, 43]-code), using construction X applied to C([0,38]) ⊂ C([1,38]) based on
- linear OA(569, 78, F5, 42) (dual of [78, 9, 43]-code), using the expurgated narrow-sense BCH-code C(I) with length 78 | 54−1, defining interval I = [0,38], and minimum distance d ≥ |{−3,−2,…,38}|+1 = 43 (BCH-bound) [i]
- linear OA(568, 78, F5, 38) (dual of [78, 10, 39]-code), using the narrow-sense BCH-code C(I) with length 78 | 54−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(53, 4, F5, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,5) or 4-cap in PG(2,5)), using
- dual of repetition code with length 4 [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.