Information on Result #637159
Linear OA(4253, 325, F4, 125) (dual of [325, 72, 126]-code), using concatenation of two codes 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]
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(4253, 325, F4, 124) (dual of [325, 72, 125]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4253, 325, F4, 123) (dual of [325, 72, 124]-code) | [i] | ||
| 3 | Linear OA(4254, 326, F4, 125) (dual of [326, 72, 126]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4255, 327, F4, 125) (dual of [327, 72, 126]-code) | [i] | ||
| 5 | Linear OA(4259, 331, F4, 125) (dual of [331, 72, 126]-code) | [i] | ||
| 6 | Linear OA(4252, 324, F4, 124) (dual of [324, 72, 125]-code) | [i] | Truncation | |
| 7 | Linear OA(4251, 323, F4, 123) (dual of [323, 72, 124]-code) | [i] | ||
| 8 | Linear OOA(4253, 162, F4, 2, 125) (dual of [(162, 2), 71, 126]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(4253, 108, F4, 3, 125) (dual of [(108, 3), 71, 126]-NRT-code) | [i] | ||