Information on Result #641106
Linear OA(4199, 206, F4, 138) (dual of [206, 7, 139]-code), using juxtaposition based on
- linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4135, 142, F4, 94) (dual of [142, 7, 95]-code), using
- juxtaposition [i] based on
- linear OA(456, 63, F4, 42) (dual of [63, 7, 43]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(472, 79, F4, 51) (dual of [79, 7, 52]-code), using
- discarding factors / shortening the dual code based on linear OA(472, 80, F4, 51) (dual of [80, 8, 52]-code), using
- concatenation of two codes [i] based on
- discarding factors / shortening the dual code based on linear OA(472, 80, F4, 51) (dual of [80, 8, 52]-code), using
- linear OA(456, 63, F4, 42) (dual of [63, 7, 43]-code), using
- juxtaposition [i] based on
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.