Information on Result #612755
Linear OA(443, 72, F4, 17) (dual of [72, 29, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
- linear OA(437, 65, F4, 17) (dual of [65, 28, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(436, 65, F4, 10) (dual of [65, 29, 11]-code), using the narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [1,8], and minimum distance d ≥ |{1,2,…,7}| + |{0,28,56,…,−8}∖{28,19,−18,10,−27,29}| = 11 (general Roos-bound) [i]
- linear OA(46, 7, F4, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,4)), using
- dual of repetition code with length 7 [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.