Information on Result #634940
Linear OA(473, 85, F4, 47) (dual of [85, 12, 48]-code), using concatenation of two codes based on
- linear OA(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), using
- extended Reed–Solomon code RSe(6,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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]
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(473, 85, F4, 46) (dual of [85, 12, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(473, 85, F4, 45) (dual of [85, 12, 46]-code) | [i] | ||
| 3 | Linear OA(473, 85, F4, 44) (dual of [85, 12, 45]-code) | [i] | ||
| 4 | Linear OA(474, 86, F4, 47) (dual of [86, 12, 48]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(475, 87, F4, 47) (dual of [87, 12, 48]-code) | [i] | ||
| 6 | Linear OA(472, 84, F4, 46) (dual of [84, 12, 47]-code) | [i] | Truncation | |
| 7 | Linear OA(471, 83, F4, 45) (dual of [83, 12, 46]-code) | [i] | ||
| 8 | Linear OA(470, 82, F4, 44) (dual of [82, 12, 45]-code) | [i] | ||
| 9 | Linear OA(469, 81, F4, 43) (dual of [81, 12, 44]-code) | [i] | ||
| 10 | Linear OA(467, 79, F4, 41) (dual of [79, 12, 42]-code) | [i] | ||
| 11 | Linear OA(466, 78, F4, 40) (dual of [78, 12, 41]-code) | [i] | ||
| 12 | Linear OA(465, 77, F4, 39) (dual of [77, 12, 40]-code) | [i] | ||
| 13 | Linear OOA(473, 42, F4, 2, 47) (dual of [(42, 2), 11, 48]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(473, 28, F4, 3, 47) (dual of [(28, 3), 11, 48]-NRT-code) | [i] | ||