Information on Result #640987
Linear OA(3203, 210, F3, 128) (dual of [210, 7, 129]-code), using juxtaposition based on
- linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
- an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3122, 129, F3, 77) (dual of [129, 7, 78]-code), using
- discarding factors / shortening the dual code based on linear OA(3122, 132, F3, 77) (dual of [132, 10, 78]-code), using
- construction X applied to C2 ⊂ C1 [i] based on
- linear OA(3116, 121, F3, 80) (dual of [121, 5, 81]-code), using code C2 for u = 5 by de Boer and Brouwer [i]
- linear OA(3111, 121, F3, 71) (dual of [121, 10, 72]-code), using code C1 for u = 5 by de Boer and Brouwer [i]
- linear OA(36, 11, F3, 5) (dual of [11, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- construction X applied to C2 ⊂ C1 [i] based on
- discarding factors / shortening the dual code based on linear OA(3122, 132, F3, 77) (dual of [132, 10, 78]-code), using
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.