Information on Result #686007
Linear OA(743, 65, F7, 23) (dual of [65, 22, 24]-code), using construction X applied to C([0,21]) ⊂ C([0,15]) based on
- linear OA(738, 57, F7, 24) (dual of [57, 19, 25]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,21], and minimum distance d ≥ |{−2,−1,…,21}|+1 = 25 (BCH-bound) [i]
- linear OA(734, 57, F7, 17) (dual of [57, 23, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,15], and minimum distance d ≥ |{−1,0,…,15}|+1 = 18 (BCH-bound) [i]
- linear OA(75, 8, F7, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,7)), using
- extended Reed–Solomon code RSe(3,7) [i]
- the expurgated narrow-sense BCH-code C(I) with length 8 | 72−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [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.