Information on Result #614132
Linear OA(571, 75, F5, 56) (dual of [75, 4, 57]-code), using construction X applied to C([0,53]) ⊂ C([1,53]) based on
- linear OA(569, 72, F5, 56) (dual of [72, 3, 57]-code), using the expurgated narrow-sense BCH-code C(I) with length 72 | 56−1, defining interval I = [0,53], and minimum distance d ≥ |{−2,−1,…,53}|+1 = 57 (BCH-bound) [i]
- linear OA(568, 72, F5, 53) (dual of [72, 4, 54]-code), using the narrow-sense BCH-code C(I) with length 72 | 56−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [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.