Information on Result #661562
Linear OA(4125, 130, F4, 91) (dual of [130, 5, 92]-code), using juxtaposition based on
- linear OA(457, 62, F4, 43) (dual of [62, 5, 44]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(457, 63, F4, 43) (dual of [63, 6, 44]-code), using
- linear OA(463, 68, F4, 47) (dual of [68, 5, 48]-code), using
- residual code [i] based on linear OA(4254, 260, F4, 191) (dual of [260, 6, 192]-code), using
- concatenation of two codes [i] based on
- linear OA(1649, 52, F16, 47) (dual of [52, 3, 48]-code), using
- Denniston code D(2,16) [i]
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- linear OA(1649, 52, F16, 47) (dual of [52, 3, 48]-code), using
- concatenation of two codes [i] based on
- residual code [i] based on linear OA(4254, 260, F4, 191) (dual of [260, 6, 192]-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.