Information on Result #636903
Linear OA(4223, 325, F4, 95) (dual of [325, 102, 96]-code), using concatenation of two codes based on
- linear OA(6431, 65, F64, 31) (dual of [65, 34, 32]-code or 65-arc in PG(30,64)), using
- extended Reed–Solomon code RSe(34,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(4223, 325, F4, 94) (dual of [325, 102, 95]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4223, 325, F4, 93) (dual of [325, 102, 94]-code) | [i] | ||
| 3 | Linear OA(4224, 326, F4, 95) (dual of [326, 102, 96]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4225, 327, F4, 95) (dual of [327, 102, 96]-code) | [i] | ||
| 5 | Linear OA(4226, 328, F4, 95) (dual of [328, 102, 96]-code) | [i] | ||
| 6 | Linear OA(4227, 329, F4, 95) (dual of [329, 102, 96]-code) | [i] | ||
| 7 | Linear OA(4228, 330, F4, 95) (dual of [330, 102, 96]-code) | [i] | ||
| 8 | Linear OA(4229, 331, F4, 95) (dual of [331, 102, 96]-code) | [i] | ||
| 9 | Linear OA(4222, 324, F4, 94) (dual of [324, 102, 95]-code) | [i] | Truncation | |
| 10 | Linear OA(4221, 323, F4, 93) (dual of [323, 102, 94]-code) | [i] | ||
| 11 | Linear OOA(4223, 162, F4, 2, 95) (dual of [(162, 2), 101, 96]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(4223, 108, F4, 3, 95) (dual of [(108, 3), 101, 96]-NRT-code) | [i] | ||