Information on Result #614752
Linear OA(7106, 110, F7, 65) (dual of [110, 4, 66]-code), using construction X applied to C([0,32]) ⊂ C([1,32]) based on
- linear OA(785, 88, F7, 65) (dual of [88, 3, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 88 | 710−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (BCH-bound) [i]
- linear OA(784, 88, F7, 43) (dual of [88, 4, 44]-code), using the narrow-sense BCH-code C(I) with length 88 | 710−1, defining interval I = [1,32], and minimum distance d ≥ |{1,2,…,15}| + |{14,43,72,…,0}∖{30,31,32,33,34,35,36,37,38,39,40,41,42,43}| = 44 (general Roos-bound) [i]
- linear OA(721, 22, F7, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,7)), using
- dual of repetition code with length 22 [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.
Other Results with Identical Parameters
None.
Depending Results
None.