Information on Result #637186
Linear OA(4259, 325, F4, 131) (dual of [325, 66, 132]-code), using concatenation of two codes based on
- linear OA(6443, 65, F64, 43) (dual of [65, 22, 44]-code or 65-arc in PG(42,64)), using
- extended Reed–Solomon code RSe(22,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4259, 325, F4, 130) (dual of [325, 66, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4259, 325, F4, 129) (dual of [325, 66, 130]-code) | [i] | ||
| 3 | Linear OA(4257, 323, F4, 129) (dual of [323, 66, 130]-code) | [i] | Truncation | |