Information on Result #634942
Linear OA(467, 75, F4, 47) (dual of [75, 8, 48]-code), using concatenation of two codes 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]
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(467, 75, F4, 46) (dual of [75, 8, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(467, 75, F4, 45) (dual of [75, 8, 46]-code) | [i] | ||
| 3 | Linear OA(4140, 146, F4, 95) (dual of [146, 6, 96]-code) | [i] | Repeating Each Code Word | |
| 4 | Linear OA(4130, 137, F4, 90) (dual of [137, 7, 91]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(4131, 138, F4, 91) (dual of [138, 7, 92]-code) | [i] | ||
| 6 | Linear OA(2207, 219, F2, 95) (dual of [219, 12, 96]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(2206, 216, F2, 95) (dual of [216, 10, 96]-code) | [i] | ||