Information on Result #641098
Linear OA(4131, 138, F4, 91) (dual of [138, 7, 92]-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(467, 74, F4, 47) (dual of [74, 7, 48]-code), using
- discarding factors / shortening the dual code based on linear OA(467, 75, F4, 47) (dual of [75, 8, 48]-code), using
- concatenation of two codes [i] based on
- linear OA(1611, 15, F16, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- Reed–Solomon code RS(5,16) [i]
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- 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(1611, 15, F16, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,16)), using
- concatenation of two codes [i] based on
- discarding factors / shortening the dual code based on linear OA(467, 75, F4, 47) (dual of [75, 8, 48]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4195, 202, F4, 135) (dual of [202, 7, 136]-code) | [i] | Juxtaposition | |