Information on Result #641133
Linear OA(4125, 131, F4, 90) (dual of [131, 6, 91]-code), using juxtaposition based on
- linear OA(457, 63, F4, 43) (dual of [63, 6, 44]-code), using
- contraction [i] based on linear OA(4183, 189, F4, 131) (dual of [189, 6, 132]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,128], and minimum distance d ≥ |{−2,−1,…,128}|+1 = 132 (BCH-bound) [i]
- linear OA(462, 68, F4, 46) (dual of [68, 6, 47]-code), using
- residual code [i] based on linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using
- an extension Ce(186) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,186], and designed minimum distance d ≥ |I|+1 = 187 [i]
- residual code [i] based on linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-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.