Information on Result #614470
Linear OA(741, 59, F7, 21) (dual of [59, 18, 22]-code), using construction X applied to C([0,10]) ⊂ C([1,10]) based on
- linear OA(733, 50, F7, 21) (dual of [50, 17, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(732, 50, F7, 12) (dual of [50, 18, 13]-code), using the narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [1,10], and minimum distance d ≥ |{1,2,…,9}| + |{−21,−10,1,…,0}∖{−22,17,6,−5,−16,23,12,−21}| = 13 (general Roos-bound) [i]
- linear OA(78, 9, F7, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,7)), using
- dual of repetition code with length 9 [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.