Information on Result #614594
Linear OA(749, 59, F7, 33) (dual of [59, 10, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
- linear OA(741, 50, F7, 33) (dual of [50, 9, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(740, 50, F7, 24) (dual of [50, 10, 25]-code), using the narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [1,16], and minimum distance d ≥ |{6,13,20,…,12}| + |{13,32,1,…,0}∖{12,5,−2,−9,−16,−23,20,13}| = 25 (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.