Information on Result #2275655
Linear OA(4236, 326, F4, 107) (dual of [326, 90, 108]-code), using 1 times code embedding in larger space based on linear OA(4235, 325, F4, 107) (dual of [325, 90, 108]-code), using
- concatenation of two codes [i] based on
- linear OA(6435, 65, F64, 35) (dual of [65, 30, 36]-code or 65-arc in PG(34,64)), using
- extended Reed–Solomon code RSe(30,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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]
- linear OA(6435, 65, F64, 35) (dual of [65, 30, 36]-code or 65-arc in PG(34,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4236, 163, F4, 2, 107) (dual of [(163, 2), 90, 108]-NRT-code) | [i] | OOA Folding | |