Information on Result #2275930
Linear OA(4254, 326, F4, 125) (dual of [326, 72, 126]-code), using 1 times code embedding in larger space based on linear OA(4253, 325, F4, 125) (dual of [325, 72, 126]-code), using
- concatenation of two codes [i] based on
- linear OA(6441, 65, F64, 41) (dual of [65, 24, 42]-code or 65-arc in PG(40,64)), using
- extended Reed–Solomon code RSe(24,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(6441, 65, F64, 41) (dual of [65, 24, 42]-code or 65-arc in PG(40,64)), 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(4254, 163, F4, 2, 125) (dual of [(163, 2), 72, 126]-NRT-code) | [i] | OOA Folding | |